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Finding the Third Proportional to 3,679,104,098 and 8,070,490,678

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Solution

The third proportional to 3,679,104,098 and 8,070,490,678 is: 17,703,445,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679,104,098 : 8,070,490,678 = 8,070,490,678 : x
  2. Step 2: Convert to fraction form
    3,679,104,098/8,070,490,678 = 8,070,490,678/x
  3. Step 3: Cross multiply
    3,679,104,098x = 8,070,490,678 × 8,070,490,678
  4. Step 4: Simplify right side
    3,679,104,098x = 65,132,819,783,684,898,816
  5. Step 5: Solve for x
    x = 65,132,819,783,684,898,816/3,679,104,098
  6. Step 6: Final answer
    x = 17,703,445,743.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.