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Finding the Third Proportional to 225,343,917 and 474,897,924

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Solution

The third proportional to 225,343,917 and 474,897,924 is: 1,000,817,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,343,917 : 474,897,924 = 474,897,924 : x
  2. Step 2: Convert to fraction form
    225,343,917/474,897,924 = 474,897,924/x
  3. Step 3: Cross multiply
    225,343,917x = 474,897,924 × 474,897,924
  4. Step 4: Simplify right side
    225,343,917x = 225,528,038,219,509,760
  5. Step 5: Solve for x
    x = 225,528,038,219,509,760/225,343,917
  6. Step 6: Final answer
    x = 1,000,817,067.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.