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Finding the Third Proportional to 10,582,147.13 and 15,464,901.38

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Solution

The third proportional to 10,582,147.13 and 15,464,901.38 is: 22,600,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582,147.13 : 15,464,901.38 = 15,464,901.38 : x
  2. Step 2: Convert to fraction form
    10,582,147.13/15,464,901.38 = 15,464,901.38/x
  3. Step 3: Cross multiply
    10,582,147.13x = 15,464,901.38 × 15,464,901.38
  4. Step 4: Simplify right side
    10,582,147.13x = 239,163,174,538,476.88
  5. Step 5: Solve for x
    x = 239,163,174,538,476.88/10,582,147.13
  6. Step 6: Final answer
    x = 22,600,628.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.