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Finding the Third Proportional to 9,243,141 and 19,947,750

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Solution

The third proportional to 9,243,141 and 19,947,750 is: 43,049,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243,141 : 19,947,750 = 19,947,750 : x
  2. Step 2: Convert to fraction form
    9,243,141/19,947,750 = 19,947,750/x
  3. Step 3: Cross multiply
    9,243,141x = 19,947,750 × 19,947,750
  4. Step 4: Simplify right side
    9,243,141x = 397,912,730,062,500
  5. Step 5: Solve for x
    x = 397,912,730,062,500/9,243,141
  6. Step 6: Final answer
    x = 43,049,514.24

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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.