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Finding the Third Proportional to 47,275,134 and 103,518,336

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Solution

The third proportional to 47,275,134 and 103,518,336 is: 226,674,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,275,134 : 103,518,336 = 103,518,336 : x
  2. Step 2: Convert to fraction form
    47,275,134/103,518,336 = 103,518,336/x
  3. Step 3: Cross multiply
    47,275,134x = 103,518,336 × 103,518,336
  4. Step 4: Simplify right side
    47,275,134x = 10,716,045,888,208,896
  5. Step 5: Solve for x
    x = 10,716,045,888,208,896/47,275,134
  6. Step 6: Final answer
    x = 226,674,045.77

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Why These Related Problems?

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