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Finding the Third Proportional to 37,897,713 and 83,351,969

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Solution

The third proportional to 37,897,713 and 83,351,969 is: 183,323,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,897,713 : 83,351,969 = 83,351,969 : x
  2. Step 2: Convert to fraction form
    37,897,713/83,351,969 = 83,351,969/x
  3. Step 3: Cross multiply
    37,897,713x = 83,351,969 × 83,351,969
  4. Step 4: Simplify right side
    37,897,713x = 6,947,550,736,176,961
  5. Step 5: Solve for x
    x = 6,947,550,736,176,961/37,897,713
  6. Step 6: Final answer
    x = 183,323,746.64

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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.