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Finding the Third Proportional to 3,730,233,035 and 8,089,851,103

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Solution

The third proportional to 3,730,233,035 and 8,089,851,103 is: 17,544,665,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730,233,035 : 8,089,851,103 = 8,089,851,103 : x
  2. Step 2: Convert to fraction form
    3,730,233,035/8,089,851,103 = 8,089,851,103/x
  3. Step 3: Cross multiply
    3,730,233,035x = 8,089,851,103 × 8,089,851,103
  4. Step 4: Simplify right side
    3,730,233,035x = 65,445,690,868,710,318,080
  5. Step 5: Solve for x
    x = 65,445,690,868,710,318,080/3,730,233,035
  6. Step 6: Final answer
    x = 17,544,665,508.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.