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Finding the Third Proportional to 832,781,766 and 1,293,648,651

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Solution

The third proportional to 832,781,766 and 1,293,648,651 is: 2,009,562,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,781,766 : 1,293,648,651 = 1,293,648,651 : x
  2. Step 2: Convert to fraction form
    832,781,766/1,293,648,651 = 1,293,648,651/x
  3. Step 3: Cross multiply
    832,781,766x = 1,293,648,651 × 1,293,648,651
  4. Step 4: Simplify right side
    832,781,766x = 1,673,526,832,234,119,680
  5. Step 5: Solve for x
    x = 1,673,526,832,234,119,680/832,781,766
  6. Step 6: Final answer
    x = 2,009,562,289.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.