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Finding the Third Proportional to 4,665,024 and 7,617,564

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Solution

The third proportional to 4,665,024 and 7,617,564 is: 12,438,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665,024 : 7,617,564 = 7,617,564 : x
  2. Step 2: Convert to fraction form
    4,665,024/7,617,564 = 7,617,564/x
  3. Step 3: Cross multiply
    4,665,024x = 7,617,564 × 7,617,564
  4. Step 4: Simplify right side
    4,665,024x = 58,027,281,294,096
  5. Step 5: Solve for x
    x = 58,027,281,294,096/4,665,024
  6. Step 6: Final answer
    x = 12,438,795.88

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.