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Finding the Third Proportional to 765,235,963 and 1,147,654,654

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Solution

The third proportional to 765,235,963 and 1,147,654,654 is: 1,721,183,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,235,963 : 1,147,654,654 = 1,147,654,654 : x
  2. Step 2: Convert to fraction form
    765,235,963/1,147,654,654 = 1,147,654,654/x
  3. Step 3: Cross multiply
    765,235,963x = 1,147,654,654 × 1,147,654,654
  4. Step 4: Simplify right side
    765,235,963x = 1,317,111,204,847,859,712
  5. Step 5: Solve for x
    x = 1,317,111,204,847,859,712/765,235,963
  6. Step 6: Final answer
    x = 1,721,183,097.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.