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Finding the Third Proportional to 31,627,724 and 47,778,564

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Solution

The third proportional to 31,627,724 and 47,778,564 is: 72,176,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,627,724 : 47,778,564 = 47,778,564 : x
  2. Step 2: Convert to fraction form
    31,627,724/47,778,564 = 47,778,564/x
  3. Step 3: Cross multiply
    31,627,724x = 47,778,564 × 47,778,564
  4. Step 4: Simplify right side
    31,627,724x = 2,282,791,177,902,096
  5. Step 5: Solve for x
    x = 2,282,791,177,902,096/31,627,724
  6. Step 6: Final answer
    x = 72,176,903.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.