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Finding the Third Proportional to 9,336,958,476 and 20,164,710,600

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Solution

The third proportional to 9,336,958,476 and 20,164,710,600 is: 43,549,037,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336,958,476 : 20,164,710,600 = 20,164,710,600 : x
  2. Step 2: Convert to fraction form
    9,336,958,476/20,164,710,600 = 20,164,710,600/x
  3. Step 3: Cross multiply
    9,336,958,476x = 20,164,710,600 × 20,164,710,600
  4. Step 4: Simplify right side
    9,336,958,476x = 406,615,553,581,752,385,536
  5. Step 5: Solve for x
    x = 406,615,553,581,752,385,536/9,336,958,476
  6. Step 6: Final answer
    x = 43,549,037,368.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.