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Finding the Third Proportional to 2,330,514,704 and 4,993,445,272

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Solution

The third proportional to 2,330,514,704 and 4,993,445,272 is: 10,699,136,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,514,704 : 4,993,445,272 = 4,993,445,272 : x
  2. Step 2: Convert to fraction form
    2,330,514,704/4,993,445,272 = 4,993,445,272/x
  3. Step 3: Cross multiply
    2,330,514,704x = 4,993,445,272 × 4,993,445,272
  4. Step 4: Simplify right side
    2,330,514,704x = 24,934,495,684,459,155,456
  5. Step 5: Solve for x
    x = 24,934,495,684,459,155,456/2,330,514,704
  6. Step 6: Final answer
    x = 10,699,136,822.29

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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.