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Finding the Third Proportional to 454,458,514 and 981,558,224

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Solution

The third proportional to 454,458,514 and 981,558,224 is: 2,120,009,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,458,514 : 981,558,224 = 981,558,224 : x
  2. Step 2: Convert to fraction form
    454,458,514/981,558,224 = 981,558,224/x
  3. Step 3: Cross multiply
    454,458,514x = 981,558,224 × 981,558,224
  4. Step 4: Simplify right side
    454,458,514x = 963,456,547,102,034,176
  5. Step 5: Solve for x
    x = 963,456,547,102,034,176/454,458,514
  6. Step 6: Final answer
    x = 2,120,009,896.22

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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.