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Finding the Third Proportional to 30,831,919,677 and 49,059,645,273

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Solution

The third proportional to 30,831,919,677 and 49,059,645,273 is: 78,063,539,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831,919,677 : 49,059,645,273 = 49,059,645,273 : x
  2. Step 2: Convert to fraction form
    30,831,919,677/49,059,645,273 = 49,059,645,273/x
  3. Step 3: Cross multiply
    30,831,919,677x = 49,059,645,273 × 49,059,645,273
  4. Step 4: Simplify right side
    30,831,919,677x = 2,406,848,794,312,591,278,080
  5. Step 5: Solve for x
    x = 2,406,848,794,312,591,278,080/30,831,919,677
  6. Step 6: Final answer
    x = 78,063,539,978.28

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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.