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Finding the Third Proportional to 5,289,968 and 7,914,432

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Solution

The third proportional to 5,289,968 and 7,914,432 is: 11,840,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289,968 : 7,914,432 = 7,914,432 : x
  2. Step 2: Convert to fraction form
    5,289,968/7,914,432 = 7,914,432/x
  3. Step 3: Cross multiply
    5,289,968x = 7,914,432 × 7,914,432
  4. Step 4: Simplify right side
    5,289,968x = 62,638,233,882,624
  5. Step 5: Solve for x
    x = 62,638,233,882,624/5,289,968
  6. Step 6: Final answer
    x = 11,840,947.60

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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.