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Finding the Third Proportional to 699,643,105 and 1,531,084,225

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Solution

The third proportional to 699,643,105 and 1,531,084,225 is: 3,350,592,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,643,105 : 1,531,084,225 = 1,531,084,225 : x
  2. Step 2: Convert to fraction form
    699,643,105/1,531,084,225 = 1,531,084,225/x
  3. Step 3: Cross multiply
    699,643,105x = 1,531,084,225 × 1,531,084,225
  4. Step 4: Simplify right side
    699,643,105x = 2,344,218,904,043,850,752
  5. Step 5: Solve for x
    x = 2,344,218,904,043,850,752/699,643,105
  6. Step 6: Final answer
    x = 3,350,592,448.19

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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.