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Finding the Third Proportional to 71,578,387.55 and 109,447,777.13

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Solution

The third proportional to 71,578,387.55 and 109,447,777.13 is: 167,352,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578,387.55 : 109,447,777.13 = 109,447,777.13 : x
  2. Step 2: Convert to fraction form
    71,578,387.55/109,447,777.13 = 109,447,777.13/x
  3. Step 3: Cross multiply
    71,578,387.55x = 109,447,777.13 × 109,447,777.13
  4. Step 4: Simplify right side
    71,578,387.55x = 11,978,815,917,603,674
  5. Step 5: Solve for x
    x = 11,978,815,917,603,674/71,578,387.55
  6. Step 6: Final answer
    x = 167,352,413.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.