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Finding the Third Proportional to 749,979,336 and 1,193,416,164

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Solution

The third proportional to 749,979,336 and 1,193,416,164 is: 1,899,041,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,979,336 : 1,193,416,164 = 1,193,416,164 : x
  2. Step 2: Convert to fraction form
    749,979,336/1,193,416,164 = 1,193,416,164/x
  3. Step 3: Cross multiply
    749,979,336x = 1,193,416,164 × 1,193,416,164
  4. Step 4: Simplify right side
    749,979,336x = 1,424,242,140,496,474,880
  5. Step 5: Solve for x
    x = 1,424,242,140,496,474,880/749,979,336
  6. Step 6: Final answer
    x = 1,899,041,843.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.