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Finding the Third Proportional to 5,600,416 and 12,214,472

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Solution

The third proportional to 5,600,416 and 12,214,472 is: 26,639,686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600,416 : 12,214,472 = 12,214,472 : x
  2. Step 2: Convert to fraction form
    5,600,416/12,214,472 = 12,214,472/x
  3. Step 3: Cross multiply
    5,600,416x = 12,214,472 × 12,214,472
  4. Step 4: Simplify right side
    5,600,416x = 149,193,326,238,784
  5. Step 5: Solve for x
    x = 149,193,326,238,784/5,600,416
  6. Step 6: Final answer
    x = 26,639,686.45

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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.