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Finding the Third Proportional to 7,951,452,338 and 17,299,155,460

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Solution

The third proportional to 7,951,452,338 and 17,299,155,460 is: 37,635,989,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951,452,338 : 17,299,155,460 = 17,299,155,460 : x
  2. Step 2: Convert to fraction form
    7,951,452,338/17,299,155,460 = 17,299,155,460/x
  3. Step 3: Cross multiply
    7,951,452,338x = 17,299,155,460 × 17,299,155,460
  4. Step 4: Simplify right side
    7,951,452,338x = 299,260,779,629,247,791,104
  5. Step 5: Solve for x
    x = 299,260,779,629,247,791,104/7,951,452,338
  6. Step 6: Final answer
    x = 37,635,989,868.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.