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Finding the Third Proportional to 37,287,652.50 and 87,897,364.50

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Solution

The third proportional to 37,287,652.50 and 87,897,364.50 is: 207,198,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,287,652.50 : 87,897,364.50 = 87,897,364.50 : x
  2. Step 2: Convert to fraction form
    37,287,652.50/87,897,364.50 = 87,897,364.50/x
  3. Step 3: Cross multiply
    37,287,652.50x = 87,897,364.50 × 87,897,364.50
  4. Step 4: Simplify right side
    37,287,652.50x = 7,725,946,686,045,860
  5. Step 5: Solve for x
    x = 7,725,946,686,045,860/37,287,652.50
  6. Step 6: Final answer
    x = 207,198,527.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.