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Finding the Third Proportional to 33,267,813,894 and 78,454,047,672

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Solution

The third proportional to 33,267,813,894 and 78,454,047,672 is: 185,014,789,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,267,813,894 : 78,454,047,672 = 78,454,047,672 : x
  2. Step 2: Convert to fraction form
    33,267,813,894/78,454,047,672 = 78,454,047,672/x
  3. Step 3: Cross multiply
    33,267,813,894x = 78,454,047,672 × 78,454,047,672
  4. Step 4: Simplify right side
    33,267,813,894x = 6,155,037,596,120,448,499,712
  5. Step 5: Solve for x
    x = 6,155,037,596,120,448,499,712/33,267,813,894
  6. Step 6: Final answer
    x = 185,014,789,842.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.