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Finding the Third Proportional to 768,311,491.31 and 1,653,151,567.13

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Solution

The third proportional to 768,311,491.31 and 1,653,151,567.13 is: 3,557,034,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,311,491.31 : 1,653,151,567.13 = 1,653,151,567.13 : x
  2. Step 2: Convert to fraction form
    768,311,491.31/1,653,151,567.13 = 1,653,151,567.13/x
  3. Step 3: Cross multiply
    768,311,491.31x = 1,653,151,567.13 × 1,653,151,567.13
  4. Step 4: Simplify right side
    768,311,491.31x = 2,732,910,103,887,843,328
  5. Step 5: Solve for x
    x = 2,732,910,103,887,843,328/768,311,491.31
  6. Step 6: Final answer
    x = 3,557,034,008.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.