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Finding the Third Proportional to 4,147,510.50 and 6,347,565

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Solution

The third proportional to 4,147,510.50 and 6,347,565 is: 9,714,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147,510.50 : 6,347,565 = 6,347,565 : x
  2. Step 2: Convert to fraction form
    4,147,510.50/6,347,565 = 6,347,565/x
  3. Step 3: Cross multiply
    4,147,510.50x = 6,347,565 × 6,347,565
  4. Step 4: Simplify right side
    4,147,510.50x = 40,291,581,429,225
  5. Step 5: Solve for x
    x = 40,291,581,429,225/4,147,510.50
  6. Step 6: Final answer
    x = 9,714,642.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.