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Finding the Third Proportional to 47,836,428 and 102,050,904

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Solution

The third proportional to 47,836,428 and 102,050,904 is: 217,708,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,836,428 : 102,050,904 = 102,050,904 : x
  2. Step 2: Convert to fraction form
    47,836,428/102,050,904 = 102,050,904/x
  3. Step 3: Cross multiply
    47,836,428x = 102,050,904 × 102,050,904
  4. Step 4: Simplify right side
    47,836,428x = 10,414,387,007,217,216
  5. Step 5: Solve for x
    x = 10,414,387,007,217,216/47,836,428
  6. Step 6: Final answer
    x = 217,708,291.41

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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.