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Finding the Third Proportional to 9,871,214 and 15,254,900

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Solution

The third proportional to 9,871,214 and 15,254,900 is: 23,574,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871,214 : 15,254,900 = 15,254,900 : x
  2. Step 2: Convert to fraction form
    9,871,214/15,254,900 = 15,254,900/x
  3. Step 3: Cross multiply
    9,871,214x = 15,254,900 × 15,254,900
  4. Step 4: Simplify right side
    9,871,214x = 232,711,974,010,000
  5. Step 5: Solve for x
    x = 232,711,974,010,000/9,871,214
  6. Step 6: Final answer
    x = 23,574,807.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.