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Finding the Third Proportional to 2,330,514,758 and 4,993,445,380

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Solution

The third proportional to 2,330,514,758 and 4,993,445,380 is: 10,699,137,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,514,758 : 4,993,445,380 = 4,993,445,380 : x
  2. Step 2: Convert to fraction form
    2,330,514,758/4,993,445,380 = 4,993,445,380/x
  3. Step 3: Cross multiply
    2,330,514,758x = 4,993,445,380 × 4,993,445,380
  4. Step 4: Simplify right side
    2,330,514,758x = 24,934,496,763,043,344,384
  5. Step 5: Solve for x
    x = 24,934,496,763,043,344,384/2,330,514,758
  6. Step 6: Final answer
    x = 10,699,137,037.19

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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.