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Finding the Third Proportional to 7,947,501.75 and 17,165,376

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Solution

The third proportional to 7,947,501.75 and 17,165,376 is: 37,074,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947,501.75 : 17,165,376 = 17,165,376 : x
  2. Step 2: Convert to fraction form
    7,947,501.75/17,165,376 = 17,165,376/x
  3. Step 3: Cross multiply
    7,947,501.75x = 17,165,376 × 17,165,376
  4. Step 4: Simplify right side
    7,947,501.75x = 294,650,133,221,376
  5. Step 5: Solve for x
    x = 294,650,133,221,376/7,947,501.75
  6. Step 6: Final answer
    x = 37,074,560.34

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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.