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Finding the Third Proportional to 9,407,460 and 19,945,314

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Solution

The third proportional to 9,407,460 and 19,945,314 is: 42,287,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407,460 : 19,945,314 = 19,945,314 : x
  2. Step 2: Convert to fraction form
    9,407,460/19,945,314 = 19,945,314/x
  3. Step 3: Cross multiply
    9,407,460x = 19,945,314 × 19,945,314
  4. Step 4: Simplify right side
    9,407,460x = 397,815,550,558,596
  5. Step 5: Solve for x
    x = 397,815,550,558,596/9,407,460
  6. Step 6: Final answer
    x = 42,287,243.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.