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Finding the Third Proportional to 30,831,919,692 and 49,059,645,292

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Solution

The third proportional to 30,831,919,692 and 49,059,645,292 is: 78,063,540,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831,919,692 : 49,059,645,292 = 49,059,645,292 : x
  2. Step 2: Convert to fraction form
    30,831,919,692/49,059,645,292 = 49,059,645,292/x
  3. Step 3: Cross multiply
    30,831,919,692x = 49,059,645,292 × 49,059,645,292
  4. Step 4: Simplify right side
    30,831,919,692x = 2,406,848,796,176,857,694,208
  5. Step 5: Solve for x
    x = 2,406,848,796,176,857,694,208/30,831,919,692
  6. Step 6: Final answer
    x = 78,063,540,000.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.