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Finding the Third Proportional to 461,754,781.31 and 715,592,771.16

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Solution

The third proportional to 461,754,781.31 and 715,592,771.16 is: 1,108,971,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,754,781.31 : 715,592,771.16 = 715,592,771.16 : x
  2. Step 2: Convert to fraction form
    461,754,781.31/715,592,771.16 = 715,592,771.16/x
  3. Step 3: Cross multiply
    461,754,781.31x = 715,592,771.16 × 715,592,771.16
  4. Step 4: Simplify right side
    461,754,781.31x = 512,073,014,131,081,152
  5. Step 5: Solve for x
    x = 512,073,014,131,081,152/461,754,781.31
  6. Step 6: Final answer
    x = 1,108,971,763.49

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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.