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Finding the Third Proportional to 47,836,476 and 102,051,000

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Solution

The third proportional to 47,836,476 and 102,051,000 is: 217,708,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,836,476 : 102,051,000 = 102,051,000 : x
  2. Step 2: Convert to fraction form
    47,836,476/102,051,000 = 102,051,000/x
  3. Step 3: Cross multiply
    47,836,476x = 102,051,000 × 102,051,000
  4. Step 4: Simplify right side
    47,836,476x = 10,414,406,601,000,000
  5. Step 5: Solve for x
    x = 10,414,406,601,000,000/47,836,476
  6. Step 6: Final answer
    x = 217,708,482.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.