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Finding the Third Proportional to 639,215,164,392 and 1,390,957,946,148

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Solution

The third proportional to 639,215,164,392 and 1,390,957,946,148 is: 3,026,780,520,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,215,164,392 : 1,390,957,946,148 = 1,390,957,946,148 : x
  2. Step 2: Convert to fraction form
    639,215,164,392/1,390,957,946,148 = 1,390,957,946,148/x
  3. Step 3: Cross multiply
    639,215,164,392x = 1,390,957,946,148 × 1,390,957,946,148
  4. Step 4: Simplify right side
    639,215,164,392x = 1,934,764,007,952,262,488,915,968
  5. Step 5: Solve for x
    x = 1,934,764,007,952,262,488,915,968/639,215,164,392
  6. Step 6: Final answer
    x = 3,026,780,520,441.10

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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.