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Finding the Third Proportional to 7,031,704.50 and 10,566,281.25

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Solution

The third proportional to 7,031,704.50 and 10,566,281.25 is: 15,877,558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031,704.50 : 10,566,281.25 = 10,566,281.25 : x
  2. Step 2: Convert to fraction form
    7,031,704.50/10,566,281.25 = 10,566,281.25/x
  3. Step 3: Cross multiply
    7,031,704.50x = 10,566,281.25 × 10,566,281.25
  4. Step 4: Simplify right side
    7,031,704.50x = 111,646,299,454,101.56
  5. Step 5: Solve for x
    x = 111,646,299,454,101.56/7,031,704.50
  6. Step 6: Final answer
    x = 15,877,558.49

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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.