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Finding the Third Proportional to 10,275,646.50 and 22,101,328.13

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Solution

The third proportional to 10,275,646.50 and 22,101,328.13 is: 47,536,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275,646.50 : 22,101,328.13 = 22,101,328.13 : x
  2. Step 2: Convert to fraction form
    10,275,646.50/22,101,328.13 = 22,101,328.13/x
  3. Step 3: Cross multiply
    10,275,646.50x = 22,101,328.13 × 22,101,328.13
  4. Step 4: Simplify right side
    10,275,646.50x = 488,468,704,888,916
  5. Step 5: Solve for x
    x = 488,468,704,888,916/10,275,646.50
  6. Step 6: Final answer
    x = 47,536,542.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.