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Finding the Third Proportional to 15,473,162,940 and 23,226,121,634

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Solution

The third proportional to 15,473,162,940 and 23,226,121,634 is: 34,863,765,621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,473,162,940 : 23,226,121,634 = 23,226,121,634 : x
  2. Step 2: Convert to fraction form
    15,473,162,940/23,226,121,634 = 23,226,121,634/x
  3. Step 3: Cross multiply
    15,473,162,940x = 23,226,121,634 × 23,226,121,634
  4. Step 4: Simplify right side
    15,473,162,940x = 539,452,726,157,362,855,936
  5. Step 5: Solve for x
    x = 539,452,726,157,362,855,936/15,473,162,940
  6. Step 6: Final answer
    x = 34,863,765,621.11

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Why These Related Problems?

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