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Finding the Third Proportional to 47,997,470 and 103,656,275

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Solution

The third proportional to 47,997,470 and 103,656,275 is: 223,858,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997,470 : 103,656,275 = 103,656,275 : x
  2. Step 2: Convert to fraction form
    47,997,470/103,656,275 = 103,656,275/x
  3. Step 3: Cross multiply
    47,997,470x = 103,656,275 × 103,656,275
  4. Step 4: Simplify right side
    47,997,470x = 10,744,623,346,875,624
  5. Step 5: Solve for x
    x = 10,744,623,346,875,624/47,997,470
  6. Step 6: Final answer
    x = 223,858,118.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.