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Finding the Third Proportional to 2,347,205 and 5,004,432

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Solution

The third proportional to 2,347,205 and 5,004,432 is: 10,669,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347,205 : 5,004,432 = 5,004,432 : x
  2. Step 2: Convert to fraction form
    2,347,205/5,004,432 = 5,004,432/x
  3. Step 3: Cross multiply
    2,347,205x = 5,004,432 × 5,004,432
  4. Step 4: Simplify right side
    2,347,205x = 25,044,339,642,624
  5. Step 5: Solve for x
    x = 25,044,339,642,624/2,347,205
  6. Step 6: Final answer
    x = 10,669,856.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.