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Finding the Third Proportional to 4,722,142 and 10,011,765

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Solution

The third proportional to 4,722,142 and 10,011,765 is: 21,226,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722,142 : 10,011,765 = 10,011,765 : x
  2. Step 2: Convert to fraction form
    4,722,142/10,011,765 = 10,011,765/x
  3. Step 3: Cross multiply
    4,722,142x = 10,011,765 × 10,011,765
  4. Step 4: Simplify right side
    4,722,142x = 100,235,438,415,225
  5. Step 5: Solve for x
    x = 100,235,438,415,225/4,722,142
  6. Step 6: Final answer
    x = 21,226,688.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.