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Finding the Third Proportional to 220,793,193,347 and 480,271,638,931

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Solution

The third proportional to 220,793,193,347 and 480,271,638,931 is: 1,044,691,838,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,793,193,347 : 480,271,638,931 = 480,271,638,931 : x
  2. Step 2: Convert to fraction form
    220,793,193,347/480,271,638,931 = 480,271,638,931/x
  3. Step 3: Cross multiply
    220,793,193,347x = 480,271,638,931 × 480,271,638,931
  4. Step 4: Simplify right side
    220,793,193,347x = 230,660,847,161,468,820,389,888
  5. Step 5: Solve for x
    x = 230,660,847,161,468,820,389,888/220,793,193,347
  6. Step 6: Final answer
    x = 1,044,691,838,841.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.