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Finding the Third Proportional to 42,482,277 and 65,600,071.13

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Solution

The third proportional to 42,482,277 and 65,600,071.13 is: 101,297,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,482,277 : 65,600,071.13 = 65,600,071.13 : x
  2. Step 2: Convert to fraction form
    42,482,277/65,600,071.13 = 65,600,071.13/x
  3. Step 3: Cross multiply
    42,482,277x = 65,600,071.13 × 65,600,071.13
  4. Step 4: Simplify right side
    42,482,277x = 4,303,369,331,605,059
  5. Step 5: Solve for x
    x = 4,303,369,331,605,059/42,482,277
  6. Step 6: Final answer
    x = 101,297,991.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.