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Finding the Third Proportional to 5,908,275 and 12,824,904

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Solution

The third proportional to 5,908,275 and 12,824,904 is: 27,838,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908,275 : 12,824,904 = 12,824,904 : x
  2. Step 2: Convert to fraction form
    5,908,275/12,824,904 = 12,824,904/x
  3. Step 3: Cross multiply
    5,908,275x = 12,824,904 × 12,824,904
  4. Step 4: Simplify right side
    5,908,275x = 164,478,162,609,216
  5. Step 5: Solve for x
    x = 164,478,162,609,216/5,908,275
  6. Step 6: Final answer
    x = 27,838,609.85

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