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Finding the Third Proportional to 4,927,396 and 10,535,750

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Solution

The third proportional to 4,927,396 and 10,535,750 is: 22,527,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927,396 : 10,535,750 = 10,535,750 : x
  2. Step 2: Convert to fraction form
    4,927,396/10,535,750 = 10,535,750/x
  3. Step 3: Cross multiply
    4,927,396x = 10,535,750 × 10,535,750
  4. Step 4: Simplify right side
    4,927,396x = 111,002,028,062,500
  5. Step 5: Solve for x
    x = 111,002,028,062,500/4,927,396
  6. Step 6: Final answer
    x = 22,527,523.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.