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Finding the Third Proportional to 9,871,672.50 and 22,011,828.75

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Solution

The third proportional to 9,871,672.50 and 22,011,828.75 is: 49,081,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871,672.50 : 22,011,828.75 = 22,011,828.75 : x
  2. Step 2: Convert to fraction form
    9,871,672.50/22,011,828.75 = 22,011,828.75/x
  3. Step 3: Cross multiply
    9,871,672.50x = 22,011,828.75 × 22,011,828.75
  4. Step 4: Simplify right side
    9,871,672.50x = 484,520,604,919,326.56
  5. Step 5: Solve for x
    x = 484,520,604,919,326.56/9,871,672.50
  6. Step 6: Final answer
    x = 49,081,916.46

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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.