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Finding the Third Proportional to 6,377,108,714 and 8,976,461,074

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Solution

The third proportional to 6,377,108,714 and 8,976,461,074 is: 12,635,326,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377,108,714 : 8,976,461,074 = 8,976,461,074 : x
  2. Step 2: Convert to fraction form
    6,377,108,714/8,976,461,074 = 8,976,461,074/x
  3. Step 3: Cross multiply
    6,377,108,714x = 8,976,461,074 × 8,976,461,074
  4. Step 4: Simplify right side
    6,377,108,714x = 80,576,853,413,037,228,032
  5. Step 5: Solve for x
    x = 80,576,853,413,037,228,032/6,377,108,714
  6. Step 6: Final answer
    x = 12,635,326,921.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.