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Finding the Third Proportional to 7,897,029.19 and 17,247,380.63

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Solution

The third proportional to 7,897,029.19 and 17,247,380.63 is: 37,668,866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897,029.19 : 17,247,380.63 = 17,247,380.63 : x
  2. Step 2: Convert to fraction form
    7,897,029.19/17,247,380.63 = 17,247,380.63/x
  3. Step 3: Cross multiply
    7,897,029.19x = 17,247,380.63 × 17,247,380.63
  4. Step 4: Simplify right side
    7,897,029.19x = 297,472,138,423,625.38
  5. Step 5: Solve for x
    x = 297,472,138,423,625.38/7,897,029.19
  6. Step 6: Final answer
    x = 37,668,866.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.