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Finding the Third Proportional to 7,988,684 and 17,472,051

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Solution

The third proportional to 7,988,684 and 17,472,051 is: 38,213,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988,684 : 17,472,051 = 17,472,051 : x
  2. Step 2: Convert to fraction form
    7,988,684/17,472,051 = 17,472,051/x
  3. Step 3: Cross multiply
    7,988,684x = 17,472,051 × 17,472,051
  4. Step 4: Simplify right side
    7,988,684x = 305,272,566,146,601
  5. Step 5: Solve for x
    x = 305,272,566,146,601/7,988,684
  6. Step 6: Final answer
    x = 38,213,123.23

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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.