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Finding the Third Proportional to 10,388,127 and 15,524,049.50

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Solution

The third proportional to 10,388,127 and 15,524,049.50 is: 23,199,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388,127 : 15,524,049.50 = 15,524,049.50 : x
  2. Step 2: Convert to fraction form
    10,388,127/15,524,049.50 = 15,524,049.50/x
  3. Step 3: Cross multiply
    10,388,127x = 15,524,049.50 × 15,524,049.50
  4. Step 4: Simplify right side
    10,388,127x = 240,996,112,878,450.25
  5. Step 5: Solve for x
    x = 240,996,112,878,450.25/10,388,127
  6. Step 6: Final answer
    x = 23,199,188.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.