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Finding the Third Proportional to 1,753,676,370 and 3,816,070,470

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Solution

The third proportional to 1,753,676,370 and 3,816,070,470 is: 8,303,923,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,676,370 : 3,816,070,470 = 3,816,070,470 : x
  2. Step 2: Convert to fraction form
    1,753,676,370/3,816,070,470 = 3,816,070,470/x
  3. Step 3: Cross multiply
    1,753,676,370x = 3,816,070,470 × 3,816,070,470
  4. Step 4: Simplify right side
    1,753,676,370x = 14,562,393,832,006,021,120
  5. Step 5: Solve for x
    x = 14,562,393,832,006,021,120/1,753,676,370
  6. Step 6: Final answer
    x = 8,303,923,164.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.