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Finding the Third Proportional to 5,124,376 and 11,861,684

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Solution

The third proportional to 5,124,376 and 11,861,684 is: 27,456,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124,376 : 11,861,684 = 11,861,684 : x
  2. Step 2: Convert to fraction form
    5,124,376/11,861,684 = 11,861,684/x
  3. Step 3: Cross multiply
    5,124,376x = 11,861,684 × 11,861,684
  4. Step 4: Simplify right side
    5,124,376x = 140,699,547,315,856
  5. Step 5: Solve for x
    x = 140,699,547,315,856/5,124,376
  6. Step 6: Final answer
    x = 27,456,913.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.