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Finding the Third Proportional to 699,643,098 and 1,531,084,206

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Solution

The third proportional to 699,643,098 and 1,531,084,206 is: 3,350,592,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,643,098 : 1,531,084,206 = 1,531,084,206 : x
  2. Step 2: Convert to fraction form
    699,643,098/1,531,084,206 = 1,531,084,206/x
  3. Step 3: Cross multiply
    699,643,098x = 1,531,084,206 × 1,531,084,206
  4. Step 4: Simplify right side
    699,643,098x = 2,344,218,845,862,650,368
  5. Step 5: Solve for x
    x = 2,344,218,845,862,650,368/699,643,098
  6. Step 6: Final answer
    x = 3,350,592,398.56

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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.