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Finding the Third Proportional to 48,476,626 and 103,671,716

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Solution

The third proportional to 48,476,626 and 103,671,716 is: 221,711,484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476,626 : 103,671,716 = 103,671,716 : x
  2. Step 2: Convert to fraction form
    48,476,626/103,671,716 = 103,671,716/x
  3. Step 3: Cross multiply
    48,476,626x = 103,671,716 × 103,671,716
  4. Step 4: Simplify right side
    48,476,626x = 10,747,824,698,384,656
  5. Step 5: Solve for x
    x = 10,747,824,698,384,656/48,476,626
  6. Step 6: Final answer
    x = 221,711,484.18

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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.