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Finding the Third Proportional to 937,464,864 and 1,981,217,712

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Solution

The third proportional to 937,464,864 and 1,981,217,712 is: 4,187,062,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,464,864 : 1,981,217,712 = 1,981,217,712 : x
  2. Step 2: Convert to fraction form
    937,464,864/1,981,217,712 = 1,981,217,712/x
  3. Step 3: Cross multiply
    937,464,864x = 1,981,217,712 × 1,981,217,712
  4. Step 4: Simplify right side
    937,464,864x = 3,925,223,622,342,514,688
  5. Step 5: Solve for x
    x = 3,925,223,622,342,514,688/937,464,864
  6. Step 6: Final answer
    x = 4,187,062,121.55

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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.