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Finding the Third Proportional to 48,476,382 and 103,671,228

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Solution

The third proportional to 48,476,382 and 103,671,228 is: 221,710,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476,382 : 103,671,228 = 103,671,228 : x
  2. Step 2: Convert to fraction form
    48,476,382/103,671,228 = 103,671,228/x
  3. Step 3: Cross multiply
    48,476,382x = 103,671,228 × 103,671,228
  4. Step 4: Simplify right side
    48,476,382x = 10,747,723,515,027,984
  5. Step 5: Solve for x
    x = 10,747,723,515,027,984/48,476,382
  6. Step 6: Final answer
    x = 221,710,512.86

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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.