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Finding the Third Proportional to 47,111,425 and 103,522,547

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Solution

The third proportional to 47,111,425 and 103,522,547 is: 227,480,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,111,425 : 103,522,547 = 103,522,547 : x
  2. Step 2: Convert to fraction form
    47,111,425/103,522,547 = 103,522,547/x
  3. Step 3: Cross multiply
    47,111,425x = 103,522,547 × 103,522,547
  4. Step 4: Simplify right side
    47,111,425x = 10,716,917,737,367,208
  5. Step 5: Solve for x
    x = 10,716,917,737,367,208/47,111,425
  6. Step 6: Final answer
    x = 227,480,228.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.