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Finding the Third Proportional to 8,972,086.50 and 19,681,045.88

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Solution

The third proportional to 8,972,086.50 and 19,681,045.88 is: 43,172,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,086.50 : 19,681,045.88 = 19,681,045.88 : x
  2. Step 2: Convert to fraction form
    8,972,086.50/19,681,045.88 = 19,681,045.88/x
  3. Step 3: Cross multiply
    8,972,086.50x = 19,681,045.88 × 19,681,045.88
  4. Step 4: Simplify right side
    8,972,086.50x = 387,343,566,733,854.50
  5. Step 5: Solve for x
    x = 387,343,566,733,854.50/8,972,086.50
  6. Step 6: Final answer
    x = 43,172,072.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.