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Finding the Third Proportional to 1,200,567,600 and 2,601,514,214

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Solution

The third proportional to 1,200,567,600 and 2,601,514,214 is: 5,637,230,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,567,600 : 2,601,514,214 = 2,601,514,214 : x
  2. Step 2: Convert to fraction form
    1,200,567,600/2,601,514,214 = 2,601,514,214/x
  3. Step 3: Cross multiply
    1,200,567,600x = 2,601,514,214 × 2,601,514,214
  4. Step 4: Simplify right side
    1,200,567,600x = 6,767,876,205,644,038,144
  5. Step 5: Solve for x
    x = 6,767,876,205,644,038,144/1,200,567,600
  6. Step 6: Final answer
    x = 5,637,230,428.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.