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Finding the Third Proportional to 9,871,486 and 22,011,457

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Solution

The third proportional to 9,871,486 and 22,011,457 is: 49,081,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871,486 : 22,011,457 = 22,011,457 : x
  2. Step 2: Convert to fraction form
    9,871,486/22,011,457 = 22,011,457/x
  3. Step 3: Cross multiply
    9,871,486x = 22,011,457 × 22,011,457
  4. Step 4: Simplify right side
    9,871,486x = 484,504,239,262,849
  5. Step 5: Solve for x
    x = 484,504,239,262,849/9,871,486
  6. Step 6: Final answer
    x = 49,081,185.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.