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Finding the Third Proportional to 3,342,203,196,960 and 5,016,842,278,320

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Solution

The third proportional to 3,342,203,196,960 and 5,016,842,278,320 is: 7,530,573,385,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342,203,196,960 : 5,016,842,278,320 = 5,016,842,278,320 : x
  2. Step 2: Convert to fraction form
    3,342,203,196,960/5,016,842,278,320 = 5,016,842,278,320/x
  3. Step 3: Cross multiply
    3,342,203,196,960x = 5,016,842,278,320 × 5,016,842,278,320
  4. Step 4: Simplify right side
    3,342,203,196,960x = 25,168,706,445,539,010,328,657,920
  5. Step 5: Solve for x
    x = 25,168,706,445,539,010,328,657,920/3,342,203,196,960
  6. Step 6: Final answer
    x = 7,530,573,385,972.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.