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Finding the Third Proportional to 33,472,826,700 and 72,829,346,466

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Solution

The third proportional to 33,472,826,700 and 72,829,346,466 is: 158,460,286,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,472,826,700 : 72,829,346,466 = 72,829,346,466 : x
  2. Step 2: Convert to fraction form
    33,472,826,700/72,829,346,466 = 72,829,346,466/x
  3. Step 3: Cross multiply
    33,472,826,700x = 72,829,346,466 × 72,829,346,466
  4. Step 4: Simplify right side
    33,472,826,700x = 5,304,113,706,664,666,857,472
  5. Step 5: Solve for x
    x = 5,304,113,706,664,666,857,472/33,472,826,700
  6. Step 6: Final answer
    x = 158,460,286,434.81

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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.