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Finding the Third Proportional to 10,235,365.03 and 15,357,865.78

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Solution

The third proportional to 10,235,365.03 and 15,357,865.78 is: 23,044,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235,365.03 : 15,357,865.78 = 15,357,865.78 : x
  2. Step 2: Convert to fraction form
    10,235,365.03/15,357,865.78 = 15,357,865.78/x
  3. Step 3: Cross multiply
    10,235,365.03x = 15,357,865.78 × 15,357,865.78
  4. Step 4: Simplify right side
    10,235,365.03x = 235,864,041,354,889.69
  5. Step 5: Solve for x
    x = 235,864,041,354,889.69/10,235,365.03
  6. Step 6: Final answer
    x = 23,044,028.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.