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Finding the Third Proportional to 33,156,439,341 and 72,122,237,400

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Solution

The third proportional to 33,156,439,341 and 72,122,237,400 is: 156,881,053,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156,439,341 : 72,122,237,400 = 72,122,237,400 : x
  2. Step 2: Convert to fraction form
    33,156,439,341/72,122,237,400 = 72,122,237,400/x
  3. Step 3: Cross multiply
    33,156,439,341x = 72,122,237,400 × 72,122,237,400
  4. Step 4: Simplify right side
    33,156,439,341x = 5,201,617,127,581,958,537,216
  5. Step 5: Solve for x
    x = 5,201,617,127,581,958,537,216/33,156,439,341
  6. Step 6: Final answer
    x = 156,881,053,302.66

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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.