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Finding the Third Proportional to 773,755,053.19 and 1,634,844,304.69

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Solution

The third proportional to 773,755,053.19 and 1,634,844,304.69 is: 3,454,214,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,755,053.19 : 1,634,844,304.69 = 1,634,844,304.69 : x
  2. Step 2: Convert to fraction form
    773,755,053.19/1,634,844,304.69 = 1,634,844,304.69/x
  3. Step 3: Cross multiply
    773,755,053.19x = 1,634,844,304.69 × 1,634,844,304.69
  4. Step 4: Simplify right side
    773,755,053.19x = 2,672,715,900,569,155,584
  5. Step 5: Solve for x
    x = 2,672,715,900,569,155,584/773,755,053.19
  6. Step 6: Final answer
    x = 3,454,214,469.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.