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Finding the Third Proportional to 37,897,724 and 83,351,989

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Solution

The third proportional to 37,897,724 and 83,351,989 is: 183,323,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,897,724 : 83,351,989 = 83,351,989 : x
  2. Step 2: Convert to fraction form
    37,897,724/83,351,989 = 83,351,989/x
  3. Step 3: Cross multiply
    37,897,724x = 83,351,989 × 83,351,989
  4. Step 4: Simplify right side
    37,897,724x = 6,947,554,070,256,121
  5. Step 5: Solve for x
    x = 6,947,554,070,256,121/37,897,724
  6. Step 6: Final answer
    x = 183,323,781.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.