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Finding the Third Proportional to 10,280,978.50 and 22,579,897

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Solution

The third proportional to 10,280,978.50 and 22,579,897 is: 49,591,753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280,978.50 : 22,579,897 = 22,579,897 : x
  2. Step 2: Convert to fraction form
    10,280,978.50/22,579,897 = 22,579,897/x
  3. Step 3: Cross multiply
    10,280,978.50x = 22,579,897 × 22,579,897
  4. Step 4: Simplify right side
    10,280,978.50x = 509,851,748,530,609
  5. Step 5: Solve for x
    x = 509,851,748,530,609/10,280,978.50
  6. Step 6: Final answer
    x = 49,591,753.21

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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.