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Finding the Third Proportional to 42,482,264.06 and 65,600,046.56

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Solution

The third proportional to 42,482,264.06 and 65,600,046.56 is: 101,297,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,482,264.06 : 65,600,046.56 = 65,600,046.56 : x
  2. Step 2: Convert to fraction form
    42,482,264.06/65,600,046.56 = 65,600,046.56/x
  3. Step 3: Cross multiply
    42,482,264.06x = 65,600,046.56 × 65,600,046.56
  4. Step 4: Simplify right side
    42,482,264.06x = 4,303,366,109,002,168
  5. Step 5: Solve for x
    x = 4,303,366,109,002,168/42,482,264.06
  6. Step 6: Final answer
    x = 101,297,946.42

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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.