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Finding the Third Proportional to 460,516,681.13 and 751,902,689.25

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Solution

The third proportional to 460,516,681.13 and 751,902,689.25 is: 1,227,659,447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,516,681.13 : 751,902,689.25 = 751,902,689.25 : x
  2. Step 2: Convert to fraction form
    460,516,681.13/751,902,689.25 = 751,902,689.25/x
  3. Step 3: Cross multiply
    460,516,681.13x = 751,902,689.25 × 751,902,689.25
  4. Step 4: Simplify right side
    460,516,681.13x = 565,357,654,101,382,080
  5. Step 5: Solve for x
    x = 565,357,654,101,382,080/460,516,681.13
  6. Step 6: Final answer
    x = 1,227,659,447.04

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.