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Finding the Third Proportional to 48,476,630 and 103,671,723

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Solution

The third proportional to 48,476,630 and 103,671,723 is: 221,711,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476,630 : 103,671,723 = 103,671,723 : x
  2. Step 2: Convert to fraction form
    48,476,630/103,671,723 = 103,671,723/x
  3. Step 3: Cross multiply
    48,476,630x = 103,671,723 × 103,671,723
  4. Step 4: Simplify right side
    48,476,630x = 10,747,826,149,788,728
  5. Step 5: Solve for x
    x = 10,747,826,149,788,728/48,476,630
  6. Step 6: Final answer
    x = 221,711,495.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.