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Finding the Third Proportional to 30,831,919,683 and 49,059,645,282

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Solution

The third proportional to 30,831,919,683 and 49,059,645,282 is: 78,063,539,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831,919,683 : 49,059,645,282 = 49,059,645,282 : x
  2. Step 2: Convert to fraction form
    30,831,919,683/49,059,645,282 = 49,059,645,282/x
  3. Step 3: Cross multiply
    30,831,919,683x = 49,059,645,282 × 49,059,645,282
  4. Step 4: Simplify right side
    30,831,919,683x = 2,406,848,795,195,664,760,832
  5. Step 5: Solve for x
    x = 2,406,848,795,195,664,760,832/30,831,919,683
  6. Step 6: Final answer
    x = 78,063,539,991.73

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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.