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Finding the Third Proportional to 42,482,269 and 65,600,057

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Solution

The third proportional to 42,482,269 and 65,600,057 is: 101,297,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,482,269 : 65,600,057 = 65,600,057 : x
  2. Step 2: Convert to fraction form
    42,482,269/65,600,057 = 65,600,057/x
  3. Step 3: Cross multiply
    42,482,269x = 65,600,057 × 65,600,057
  4. Step 4: Simplify right side
    42,482,269x = 4,303,367,478,403,249
  5. Step 5: Solve for x
    x = 4,303,367,478,403,249/42,482,269
  6. Step 6: Final answer
    x = 101,297,966.89

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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.