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Finding the Third Proportional to 33,702,478 and 72,596,336

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Solution

The third proportional to 33,702,478 and 72,596,336 is: 156,375,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702,478 : 72,596,336 = 72,596,336 : x
  2. Step 2: Convert to fraction form
    33,702,478/72,596,336 = 72,596,336/x
  3. Step 3: Cross multiply
    33,702,478x = 72,596,336 × 72,596,336
  4. Step 4: Simplify right side
    33,702,478x = 5,270,228,000,624,896
  5. Step 5: Solve for x
    x = 5,270,228,000,624,896/33,702,478
  6. Step 6: Final answer
    x = 156,375,089.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.