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Finding the Third Proportional to 9,571,213.13 and 14,711,574.38

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Solution

The third proportional to 9,571,213.13 and 14,711,574.38 is: 22,612,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571,213.13 : 14,711,574.38 = 14,711,574.38 : x
  2. Step 2: Convert to fraction form
    9,571,213.13/14,711,574.38 = 14,711,574.38/x
  3. Step 3: Cross multiply
    9,571,213.13x = 14,711,574.38 × 14,711,574.38
  4. Step 4: Simplify right side
    9,571,213.13x = 216,430,420,591,156.62
  5. Step 5: Solve for x
    x = 216,430,420,591,156.62/9,571,213.13
  6. Step 6: Final answer
    x = 22,612,642.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.