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Finding the Third Proportional to 220,671,272 and 468,241,016

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Solution

The third proportional to 220,671,272 and 468,241,016 is: 993,557,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,671,272 : 468,241,016 = 468,241,016 : x
  2. Step 2: Convert to fraction form
    220,671,272/468,241,016 = 468,241,016/x
  3. Step 3: Cross multiply
    220,671,272x = 468,241,016 × 468,241,016
  4. Step 4: Simplify right side
    220,671,272x = 219,249,649,064,712,256
  5. Step 5: Solve for x
    x = 219,249,649,064,712,256/220,671,272
  6. Step 6: Final answer
    x = 993,557,734.44

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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.