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Finding the Third Proportional to 10,625,600.25 and 22,528,084.50

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Solution

The third proportional to 10,625,600.25 and 22,528,084.50 is: 47,763,380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625,600.25 : 22,528,084.50 = 22,528,084.50 : x
  2. Step 2: Convert to fraction form
    10,625,600.25/22,528,084.50 = 22,528,084.50/x
  3. Step 3: Cross multiply
    10,625,600.25x = 22,528,084.50 × 22,528,084.50
  4. Step 4: Simplify right side
    10,625,600.25x = 507,514,591,239,140.25
  5. Step 5: Solve for x
    x = 507,514,591,239,140.25/10,625,600.25
  6. Step 6: Final answer
    x = 47,763,380.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.