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Finding the Third Proportional to 30,831,919,682 and 49,059,645,280

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Solution

The third proportional to 30,831,919,682 and 49,059,645,280 is: 78,063,539,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831,919,682 : 49,059,645,280 = 49,059,645,280 : x
  2. Step 2: Convert to fraction form
    30,831,919,682/49,059,645,280 = 49,059,645,280/x
  3. Step 3: Cross multiply
    30,831,919,682x = 49,059,645,280 × 49,059,645,280
  4. Step 4: Simplify right side
    30,831,919,682x = 2,406,848,794,999,426,383,872
  5. Step 5: Solve for x
    x = 2,406,848,794,999,426,383,872/30,831,919,682
  6. Step 6: Final answer
    x = 78,063,539,987.90

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