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Finding the Third Proportional to 4,977,432 and 7,914,465

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Solution

The third proportional to 4,977,432 and 7,914,465 is: 12,584,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977,432 : 7,914,465 = 7,914,465 : x
  2. Step 2: Convert to fraction form
    4,977,432/7,914,465 = 7,914,465/x
  3. Step 3: Cross multiply
    4,977,432x = 7,914,465 × 7,914,465
  4. Step 4: Simplify right side
    4,977,432x = 62,638,756,236,225
  5. Step 5: Solve for x
    x = 62,638,756,236,225/4,977,432
  6. Step 6: Final answer
    x = 12,584,552.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.