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Finding the Third Proportional to 4,103,862,310 and 8,321,919,386

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Solution

The third proportional to 4,103,862,310 and 8,321,919,386 is: 16,875,405,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103,862,310 : 8,321,919,386 = 8,321,919,386 : x
  2. Step 2: Convert to fraction form
    4,103,862,310/8,321,919,386 = 8,321,919,386/x
  3. Step 3: Cross multiply
    4,103,862,310x = 8,321,919,386 × 8,321,919,386
  4. Step 4: Simplify right side
    4,103,862,310x = 69,254,342,267,082,620,928
  5. Step 5: Solve for x
    x = 69,254,342,267,082,620,928/4,103,862,310
  6. Step 6: Final answer
    x = 16,875,405,906.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.