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Finding the Third Proportional to 48,476,642 and 103,671,747

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Solution

The third proportional to 48,476,642 and 103,671,747 is: 221,711,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476,642 : 103,671,747 = 103,671,747 : x
  2. Step 2: Convert to fraction form
    48,476,642/103,671,747 = 103,671,747/x
  3. Step 3: Cross multiply
    48,476,642x = 103,671,747 × 103,671,747
  4. Step 4: Simplify right side
    48,476,642x = 10,747,831,126,032,008
  5. Step 5: Solve for x
    x = 10,747,831,126,032,008/48,476,642
  6. Step 6: Final answer
    x = 221,711,543.59

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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.