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Finding the Third Proportional to 2,216,497.50 and 4,786,641

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Solution

The third proportional to 2,216,497.50 and 4,786,641 is: 10,336,998.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216,497.50 : 4,786,641 = 4,786,641 : x
  2. Step 2: Convert to fraction form
    2,216,497.50/4,786,641 = 4,786,641/x
  3. Step 3: Cross multiply
    2,216,497.50x = 4,786,641 × 4,786,641
  4. Step 4: Simplify right side
    2,216,497.50x = 22,911,932,062,881
  5. Step 5: Solve for x
    x = 22,911,932,062,881/2,216,497.50
  6. Step 6: Final answer
    x = 10,336,998.83

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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.