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Finding the Third Proportional to 12,370,320 and 25,589,196

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Solution

The third proportional to 12,370,320 and 25,589,196 is: 52,933,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370,320 : 25,589,196 = 25,589,196 : x
  2. Step 2: Convert to fraction form
    12,370,320/25,589,196 = 25,589,196/x
  3. Step 3: Cross multiply
    12,370,320x = 25,589,196 × 25,589,196
  4. Step 4: Simplify right side
    12,370,320x = 654,806,951,926,416
  5. Step 5: Solve for x
    x = 654,806,951,926,416/12,370,320
  6. Step 6: Final answer
    x = 52,933,711.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.