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Finding the Third Proportional to 9,719,736 and 15,447,684

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Solution

The third proportional to 9,719,736 and 15,447,684 is: 24,551,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719,736 : 15,447,684 = 15,447,684 : x
  2. Step 2: Convert to fraction form
    9,719,736/15,447,684 = 15,447,684/x
  3. Step 3: Cross multiply
    9,719,736x = 15,447,684 × 15,447,684
  4. Step 4: Simplify right side
    9,719,736x = 238,630,940,963,856
  5. Step 5: Solve for x
    x = 238,630,940,963,856/9,719,736
  6. Step 6: Final answer
    x = 24,551,175.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.