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Finding the Third Proportional to 5,195,204,822 and 11,342,692,300

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Solution

The third proportional to 5,195,204,822 and 11,342,692,300 is: 24,764,503,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195,204,822 : 11,342,692,300 = 11,342,692,300 : x
  2. Step 2: Convert to fraction form
    5,195,204,822/11,342,692,300 = 11,342,692,300/x
  3. Step 3: Cross multiply
    5,195,204,822x = 11,342,692,300 × 11,342,692,300
  4. Step 4: Simplify right side
    5,195,204,822x = 128,656,668,612,479,287,296
  5. Step 5: Solve for x
    x = 128,656,668,612,479,287,296/5,195,204,822
  6. Step 6: Final answer
    x = 24,764,503,618.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.