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Finding the Third Proportional to 8,972,032 and 19,681,088

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Solution

The third proportional to 8,972,032 and 19,681,088 is: 43,172,519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,032 : 19,681,088 = 19,681,088 : x
  2. Step 2: Convert to fraction form
    8,972,032/19,681,088 = 19,681,088/x
  3. Step 3: Cross multiply
    8,972,032x = 19,681,088 × 19,681,088
  4. Step 4: Simplify right side
    8,972,032x = 387,345,224,863,744
  5. Step 5: Solve for x
    x = 387,345,224,863,744/8,972,032
  6. Step 6: Final answer
    x = 43,172,519.32

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Why These Related Problems?

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