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Finding the Third Proportional to 1,500,792,716 and 3,259,938,397

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Solution

The third proportional to 1,500,792,716 and 3,259,938,397 is: 7,081,056,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,792,716 : 3,259,938,397 = 3,259,938,397 : x
  2. Step 2: Convert to fraction form
    1,500,792,716/3,259,938,397 = 3,259,938,397/x
  3. Step 3: Cross multiply
    1,500,792,716x = 3,259,938,397 × 3,259,938,397
  4. Step 4: Simplify right side
    1,500,792,716x = 10,627,198,352,234,930,176
  5. Step 5: Solve for x
    x = 10,627,198,352,234,930,176/1,500,792,716
  6. Step 6: Final answer
    x = 7,081,056,723.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.