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Finding the Third Proportional to 1,741,929,588 and 2,580,241,068

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Solution

The third proportional to 1,741,929,588 and 2,580,241,068 is: 3,821,993,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,929,588 : 2,580,241,068 = 2,580,241,068 : x
  2. Step 2: Convert to fraction form
    1,741,929,588/2,580,241,068 = 2,580,241,068/x
  3. Step 3: Cross multiply
    1,741,929,588x = 2,580,241,068 × 2,580,241,068
  4. Step 4: Simplify right side
    1,741,929,588x = 6,657,643,968,993,780,736
  5. Step 5: Solve for x
    x = 6,657,643,968,993,780,736/1,741,929,588
  6. Step 6: Final answer
    x = 3,821,993,733.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.