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Finding the Third Proportional to 33,472,826,702 and 72,829,346,470

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Solution

The third proportional to 33,472,826,702 and 72,829,346,470 is: 158,460,286,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,472,826,702 : 72,829,346,470 = 72,829,346,470 : x
  2. Step 2: Convert to fraction form
    33,472,826,702/72,829,346,470 = 72,829,346,470/x
  3. Step 3: Cross multiply
    33,472,826,702x = 72,829,346,470 × 72,829,346,470
  4. Step 4: Simplify right side
    33,472,826,702x = 5,304,113,707,247,301,820,416
  5. Step 5: Solve for x
    x = 5,304,113,707,247,301,820,416/33,472,826,702
  6. Step 6: Final answer
    x = 158,460,286,442.75

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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.