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Finding the Third Proportional to 4,225,342 and 9,124,274

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Solution

The third proportional to 4,225,342 and 9,124,274 is: 19,703,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225,342 : 9,124,274 = 9,124,274 : x
  2. Step 2: Convert to fraction form
    4,225,342/9,124,274 = 9,124,274/x
  3. Step 3: Cross multiply
    4,225,342x = 9,124,274 × 9,124,274
  4. Step 4: Simplify right side
    4,225,342x = 83,252,376,027,076
  5. Step 5: Solve for x
    x = 83,252,376,027,076/4,225,342
  6. Step 6: Final answer
    x = 19,703,109.48

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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.