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Finding the Third Proportional to 5,908,253.06 and 12,824,854.88

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Solution

The third proportional to 5,908,253.06 and 12,824,854.88 is: 27,838,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908,253.06 : 12,824,854.88 = 12,824,854.88 : x
  2. Step 2: Convert to fraction form
    5,908,253.06/12,824,854.88 = 12,824,854.88/x
  3. Step 3: Cross multiply
    5,908,253.06x = 12,824,854.88 × 12,824,854.88
  4. Step 4: Simplify right side
    5,908,253.06x = 164,476,902,564,811.25
  5. Step 5: Solve for x
    x = 164,476,902,564,811.25/5,908,253.06
  6. Step 6: Final answer
    x = 27,838,499.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.