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Finding the Third Proportional to 2,829,057,838 and 5,951,291,498

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Solution

The third proportional to 2,829,057,838 and 5,951,291,498 is: 12,519,316,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,057,838 : 5,951,291,498 = 5,951,291,498 : x
  2. Step 2: Convert to fraction form
    2,829,057,838/5,951,291,498 = 5,951,291,498/x
  3. Step 3: Cross multiply
    2,829,057,838x = 5,951,291,498 × 5,951,291,498
  4. Step 4: Simplify right side
    2,829,057,838x = 35,417,870,494,167,085,056
  5. Step 5: Solve for x
    x = 35,417,870,494,167,085,056/2,829,057,838
  6. Step 6: Final answer
    x = 12,519,316,508.29

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.