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Finding the Third Proportional to 9,871,677 and 22,011,837.75

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Solution

The third proportional to 9,871,677 and 22,011,837.75 is: 49,081,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871,677 : 22,011,837.75 = 22,011,837.75 : x
  2. Step 2: Convert to fraction form
    9,871,677/22,011,837.75 = 22,011,837.75/x
  3. Step 3: Cross multiply
    9,871,677x = 22,011,837.75 × 22,011,837.75
  4. Step 4: Simplify right side
    9,871,677x = 484,521,001,132,325.06
  5. Step 5: Solve for x
    x = 484,521,001,132,325.06/9,871,677
  6. Step 6: Final answer
    x = 49,081,934.22

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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.