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Finding the Third Proportional to 3,489,752,533,216.80 and 7,636,897,946,983.20

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Solution

The third proportional to 3,489,752,533,216.80 and 7,636,897,946,983.20 is: 16,712,420,063,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489,752,533,216.80 : 7,636,897,946,983.20 = 7,636,897,946,983.20 : x
  2. Step 2: Convert to fraction form
    3,489,752,533,216.80/7,636,897,946,983.20 = 7,636,897,946,983.20/x
  3. Step 3: Cross multiply
    3,489,752,533,216.80x = 7,636,897,946,983.20 × 7,636,897,946,983.20
  4. Step 4: Simplify right side
    3,489,752,533,216.80x = 58,322,210,252,636,222,050,533,376
  5. Step 5: Solve for x
    x = 58,322,210,252,636,222,050,533,376/3,489,752,533,216.80
  6. Step 6: Final answer
    x = 16,712,420,063,458.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.