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Finding the Third Proportional to 502,153,176 and 1,081,253,760

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Solution

The third proportional to 502,153,176 and 1,081,253,760 is: 2,328,193,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,153,176 : 1,081,253,760 = 1,081,253,760 : x
  2. Step 2: Convert to fraction form
    502,153,176/1,081,253,760 = 1,081,253,760/x
  3. Step 3: Cross multiply
    502,153,176x = 1,081,253,760 × 1,081,253,760
  4. Step 4: Simplify right side
    502,153,176x = 1,169,109,693,514,137,600
  5. Step 5: Solve for x
    x = 1,169,109,693,514,137,600/502,153,176
  6. Step 6: Final answer
    x = 2,328,193,366.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.