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Finding the Third Proportional to 4,610,347.50 and 6,766,049.25

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Solution

The third proportional to 4,610,347.50 and 6,766,049.25 is: 9,929,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610,347.50 : 6,766,049.25 = 6,766,049.25 : x
  2. Step 2: Convert to fraction form
    4,610,347.50/6,766,049.25 = 6,766,049.25/x
  3. Step 3: Cross multiply
    4,610,347.50x = 6,766,049.25 × 6,766,049.25
  4. Step 4: Simplify right side
    4,610,347.50x = 45,779,422,453,425.56
  5. Step 5: Solve for x
    x = 45,779,422,453,425.56/4,610,347.50
  6. Step 6: Final answer
    x = 9,929,711.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.