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Finding the Third Proportional to 808,618,200 and 1,242,136,464

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Solution

The third proportional to 808,618,200 and 1,242,136,464 is: 1,908,073,544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,618,200 : 1,242,136,464 = 1,242,136,464 : x
  2. Step 2: Convert to fraction form
    808,618,200/1,242,136,464 = 1,242,136,464/x
  3. Step 3: Cross multiply
    808,618,200x = 1,242,136,464 × 1,242,136,464
  4. Step 4: Simplify right side
    808,618,200x = 1,542,902,995,198,423,296
  5. Step 5: Solve for x
    x = 1,542,902,995,198,423,296/808,618,200
  6. Step 6: Final answer
    x = 1,908,073,544.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.