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Finding the Third Proportional to 625,695,678 and 946,595,079

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Solution

The third proportional to 625,695,678 and 946,595,079 is: 1,432,073,570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,695,678 : 946,595,079 = 946,595,079 : x
  2. Step 2: Convert to fraction form
    625,695,678/946,595,079 = 946,595,079/x
  3. Step 3: Cross multiply
    625,695,678x = 946,595,079 × 946,595,079
  4. Step 4: Simplify right side
    625,695,678x = 896,042,243,587,016,192
  5. Step 5: Solve for x
    x = 896,042,243,587,016,192/625,695,678
  6. Step 6: Final answer
    x = 1,432,073,570.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.