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Finding the Third Proportional to 8,431,915,405 and 13,098,192,631.50

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Solution

The third proportional to 8,431,915,405 and 13,098,192,631.50 is: 20,346,818,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431,915,405 : 13,098,192,631.50 = 13,098,192,631.50 : x
  2. Step 2: Convert to fraction form
    8,431,915,405/13,098,192,631.50 = 13,098,192,631.50/x
  3. Step 3: Cross multiply
    8,431,915,405x = 13,098,192,631.50 × 13,098,192,631.50
  4. Step 4: Simplify right side
    8,431,915,405x = 171,562,650,211,880,894,464
  5. Step 5: Solve for x
    x = 171,562,650,211,880,894,464/8,431,915,405
  6. Step 6: Final answer
    x = 20,346,818,246.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.