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Finding the Third Proportional to 6,985,872 and 15,270,120

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Solution

The third proportional to 6,985,872 and 15,270,120 is: 33,378,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985,872 : 15,270,120 = 15,270,120 : x
  2. Step 2: Convert to fraction form
    6,985,872/15,270,120 = 15,270,120/x
  3. Step 3: Cross multiply
    6,985,872x = 15,270,120 × 15,270,120
  4. Step 4: Simplify right side
    6,985,872x = 233,176,564,814,400
  5. Step 5: Solve for x
    x = 233,176,564,814,400/6,985,872
  6. Step 6: Final answer
    x = 33,378,304.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.