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Finding the Third Proportional to 9,143,372 and 19,546,438

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Solution

The third proportional to 9,143,372 and 19,546,438 is: 41,785,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143,372 : 19,546,438 = 19,546,438 : x
  2. Step 2: Convert to fraction form
    9,143,372/19,546,438 = 19,546,438/x
  3. Step 3: Cross multiply
    9,143,372x = 19,546,438 × 19,546,438
  4. Step 4: Simplify right side
    9,143,372x = 382,063,238,487,844
  5. Step 5: Solve for x
    x = 382,063,238,487,844/9,143,372
  6. Step 6: Final answer
    x = 41,785,813.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.