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Finding the Third Proportional to 15,031,566 and 32,188,897.50

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Solution

The third proportional to 15,031,566 and 32,188,897.50 is: 68,929,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,031,566 : 32,188,897.50 = 32,188,897.50 : x
  2. Step 2: Convert to fraction form
    15,031,566/32,188,897.50 = 32,188,897.50/x
  3. Step 3: Cross multiply
    15,031,566x = 32,188,897.50 × 32,188,897.50
  4. Step 4: Simplify right side
    15,031,566x = 1,036,125,122,265,506.25
  5. Step 5: Solve for x
    x = 1,036,125,122,265,506.25/15,031,566
  6. Step 6: Final answer
    x = 68,929,951.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.