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Finding the Third Proportional to 552,289,470.75 and 857,534,691.75

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Solution

The third proportional to 552,289,470.75 and 857,534,691.75 is: 1,331,486,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,289,470.75 : 857,534,691.75 = 857,534,691.75 : x
  2. Step 2: Convert to fraction form
    552,289,470.75/857,534,691.75 = 857,534,691.75/x
  3. Step 3: Cross multiply
    552,289,470.75x = 857,534,691.75 × 857,534,691.75
  4. Step 4: Simplify right side
    552,289,470.75x = 735,365,747,554,767,488
  5. Step 5: Solve for x
    x = 735,365,747,554,767,488/552,289,470.75
  6. Step 6: Final answer
    x = 1,331,486,089.27

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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.