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Finding the Third Proportional to 47,363,280 and 103,584,288

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Solution

The third proportional to 47,363,280 and 103,584,288 is: 226,540,575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,363,280 : 103,584,288 = 103,584,288 : x
  2. Step 2: Convert to fraction form
    47,363,280/103,584,288 = 103,584,288/x
  3. Step 3: Cross multiply
    47,363,280x = 103,584,288 × 103,584,288
  4. Step 4: Simplify right side
    47,363,280x = 10,729,704,720,466,944
  5. Step 5: Solve for x
    x = 10,729,704,720,466,944/47,363,280
  6. Step 6: Final answer
    x = 226,540,575.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.