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Finding the Third Proportional to 22,142,424 and 31,167,792

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Solution

The third proportional to 22,142,424 and 31,167,792 is: 43,871,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142,424 : 31,167,792 = 31,167,792 : x
  2. Step 2: Convert to fraction form
    22,142,424/31,167,792 = 31,167,792/x
  3. Step 3: Cross multiply
    22,142,424x = 31,167,792 × 31,167,792
  4. Step 4: Simplify right side
    22,142,424x = 971,431,258,155,264
  5. Step 5: Solve for x
    x = 971,431,258,155,264/22,142,424
  6. Step 6: Final answer
    x = 43,871,947.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.