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Finding the Third Proportional to 42,775,354 and 92,368,864

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Solution

The third proportional to 42,775,354 and 92,368,864 is: 199,460,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,775,354 : 92,368,864 = 92,368,864 : x
  2. Step 2: Convert to fraction form
    42,775,354/92,368,864 = 92,368,864/x
  3. Step 3: Cross multiply
    42,775,354x = 92,368,864 × 92,368,864
  4. Step 4: Simplify right side
    42,775,354x = 8,532,007,036,650,496
  5. Step 5: Solve for x
    x = 8,532,007,036,650,496/42,775,354
  6. Step 6: Final answer
    x = 199,460,816.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.