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Finding the Third Proportional to 4,905,496 and 7,656,188

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Solution

The third proportional to 4,905,496 and 7,656,188 is: 11,949,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905,496 : 7,656,188 = 7,656,188 : x
  2. Step 2: Convert to fraction form
    4,905,496/7,656,188 = 7,656,188/x
  3. Step 3: Cross multiply
    4,905,496x = 7,656,188 × 7,656,188
  4. Step 4: Simplify right side
    4,905,496x = 58,617,214,691,344
  5. Step 5: Solve for x
    x = 58,617,214,691,344/4,905,496
  6. Step 6: Final answer
    x = 11,949,294.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.