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Finding the Third Proportional to 639,215,156,397 and 1,390,957,929,942

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Solution

The third proportional to 639,215,156,397 and 1,390,957,929,942 is: 3,026,780,487,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,215,156,397 : 1,390,957,929,942 = 1,390,957,929,942 : x
  2. Step 2: Convert to fraction form
    639,215,156,397/1,390,957,929,942 = 1,390,957,929,942/x
  3. Step 3: Cross multiply
    639,215,156,397x = 1,390,957,929,942 × 1,390,957,929,942
  4. Step 4: Simplify right side
    639,215,156,397x = 1,934,763,962,868,533,827,731,456
  5. Step 5: Solve for x
    x = 1,934,763,962,868,533,827,731,456/639,215,156,397
  6. Step 6: Final answer
    x = 3,026,780,487,768.82

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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.