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Finding the Third Proportional to 2,330,514,702 and 4,993,445,268

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Solution

The third proportional to 2,330,514,702 and 4,993,445,268 is: 10,699,136,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,514,702 : 4,993,445,268 = 4,993,445,268 : x
  2. Step 2: Convert to fraction form
    2,330,514,702/4,993,445,268 = 4,993,445,268/x
  3. Step 3: Cross multiply
    2,330,514,702x = 4,993,445,268 × 4,993,445,268
  4. Step 4: Simplify right side
    2,330,514,702x = 24,934,495,644,511,592,448
  5. Step 5: Solve for x
    x = 24,934,495,644,511,592,448/2,330,514,702
  6. Step 6: Final answer
    x = 10,699,136,814.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.