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Finding the Third Proportional to 729,172,408.50 and 1,596,652,317

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Solution

The third proportional to 729,172,408.50 and 1,596,652,317 is: 3,496,153,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,172,408.50 : 1,596,652,317 = 1,596,652,317 : x
  2. Step 2: Convert to fraction form
    729,172,408.50/1,596,652,317 = 1,596,652,317/x
  3. Step 3: Cross multiply
    729,172,408.50x = 1,596,652,317 × 1,596,652,317
  4. Step 4: Simplify right side
    729,172,408.50x = 2,549,298,621,381,468,672
  5. Step 5: Solve for x
    x = 2,549,298,621,381,468,672/729,172,408.50
  6. Step 6: Final answer
    x = 3,496,153,435.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.