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Finding the Third Proportional to 4,456,840 and 9,765,523

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Solution

The third proportional to 4,456,840 and 9,765,523 is: 21,397,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456,840 : 9,765,523 = 9,765,523 : x
  2. Step 2: Convert to fraction form
    4,456,840/9,765,523 = 9,765,523/x
  3. Step 3: Cross multiply
    4,456,840x = 9,765,523 × 9,765,523
  4. Step 4: Simplify right side
    4,456,840x = 95,365,439,463,529
  5. Step 5: Solve for x
    x = 95,365,439,463,529/4,456,840
  6. Step 6: Final answer
    x = 21,397,546.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.