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Finding the Third Proportional to 747,549,067 and 1,160,503,766

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Solution

The third proportional to 747,549,067 and 1,160,503,766 is: 1,801,579,388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,549,067 : 1,160,503,766 = 1,160,503,766 : x
  2. Step 2: Convert to fraction form
    747,549,067/1,160,503,766 = 1,160,503,766/x
  3. Step 3: Cross multiply
    747,549,067x = 1,160,503,766 × 1,160,503,766
  4. Step 4: Simplify right side
    747,549,067x = 1,346,768,990,900,182,784
  5. Step 5: Solve for x
    x = 1,346,768,990,900,182,784/747,549,067
  6. Step 6: Final answer
    x = 1,801,579,388.37

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