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Finding the Third Proportional to 9,940,662 and 21,742,092

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Solution

The third proportional to 9,940,662 and 21,742,092 is: 47,554,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940,662 : 21,742,092 = 21,742,092 : x
  2. Step 2: Convert to fraction form
    9,940,662/21,742,092 = 21,742,092/x
  3. Step 3: Cross multiply
    9,940,662x = 21,742,092 × 21,742,092
  4. Step 4: Simplify right side
    9,940,662x = 472,718,564,536,464
  5. Step 5: Solve for x
    x = 472,718,564,536,464/9,940,662
  6. Step 6: Final answer
    x = 47,554,032.57

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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.