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Finding the Third Proportional to 14,854,653 and 31,497,725

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Solution

The third proportional to 14,854,653 and 31,497,725 is: 66,787,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854,653 : 31,497,725 = 31,497,725 : x
  2. Step 2: Convert to fraction form
    14,854,653/31,497,725 = 31,497,725/x
  3. Step 3: Cross multiply
    14,854,653x = 31,497,725 × 31,497,725
  4. Step 4: Simplify right side
    14,854,653x = 992,106,680,175,625
  5. Step 5: Solve for x
    x = 992,106,680,175,625/14,854,653
  6. Step 6: Final answer
    x = 66,787,603.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.