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Finding the Third Proportional to 74,787,280 and 114,882,416

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Solution

The third proportional to 74,787,280 and 114,882,416 is: 176,473,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,787,280 : 114,882,416 = 114,882,416 : x
  2. Step 2: Convert to fraction form
    74,787,280/114,882,416 = 114,882,416/x
  3. Step 3: Cross multiply
    74,787,280x = 114,882,416 × 114,882,416
  4. Step 4: Simplify right side
    74,787,280x = 13,197,969,505,997,056
  5. Step 5: Solve for x
    x = 13,197,969,505,997,056/74,787,280
  6. Step 6: Final answer
    x = 176,473,452.52

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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.