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Finding the Third Proportional to 3,489,752,534,035.60 and 7,636,897,948,828.40

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Solution

The third proportional to 3,489,752,534,035.60 and 7,636,897,948,828.40 is: 16,712,420,067,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489,752,534,035.60 : 7,636,897,948,828.40 = 7,636,897,948,828.40 : x
  2. Step 2: Convert to fraction form
    3,489,752,534,035.60/7,636,897,948,828.40 = 7,636,897,948,828.40/x
  3. Step 3: Cross multiply
    3,489,752,534,035.60x = 7,636,897,948,828.40 × 7,636,897,948,828.40
  4. Step 4: Simplify right side
    3,489,752,534,035.60x = 58,322,210,280,819,428,079,697,920
  5. Step 5: Solve for x
    x = 58,322,210,280,819,428,079,697,920/3,489,752,534,035.60
  6. Step 6: Final answer
    x = 16,712,420,067,612.87

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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.