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Finding the Third Proportional to 9,722,472 and 20,952,242.25

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Solution

The third proportional to 9,722,472 and 20,952,242.25 is: 45,152,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722,472 : 20,952,242.25 = 20,952,242.25 : x
  2. Step 2: Convert to fraction form
    9,722,472/20,952,242.25 = 20,952,242.25/x
  3. Step 3: Cross multiply
    9,722,472x = 20,952,242.25 × 20,952,242.25
  4. Step 4: Simplify right side
    9,722,472x = 438,996,455,302,685.06
  5. Step 5: Solve for x
    x = 438,996,455,302,685.06/9,722,472
  6. Step 6: Final answer
    x = 45,152,761.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.