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Finding the Third Proportional to 5,675,364 and 12,454,434

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Solution

The third proportional to 5,675,364 and 12,454,434 is: 27,330,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675,364 : 12,454,434 = 12,454,434 : x
  2. Step 2: Convert to fraction form
    5,675,364/12,454,434 = 12,454,434/x
  3. Step 3: Cross multiply
    5,675,364x = 12,454,434 × 12,454,434
  4. Step 4: Simplify right side
    5,675,364x = 155,112,926,260,356
  5. Step 5: Solve for x
    x = 155,112,926,260,356/5,675,364
  6. Step 6: Final answer
    x = 27,330,921.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.