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Finding the Third Proportional to 66,312,878,676 and 144,244,474,788

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Solution

The third proportional to 66,312,878,676 and 144,244,474,788 is: 313,762,106,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,312,878,676 : 144,244,474,788 = 144,244,474,788 : x
  2. Step 2: Convert to fraction form
    66,312,878,676/144,244,474,788 = 144,244,474,788/x
  3. Step 3: Cross multiply
    66,312,878,676x = 144,244,474,788 × 144,244,474,788
  4. Step 4: Simplify right side
    66,312,878,676x = 20,806,468,506,865,968,873,472
  5. Step 5: Solve for x
    x = 20,806,468,506,865,968,873,472/66,312,878,676
  6. Step 6: Final answer
    x = 313,762,106,581.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.