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Finding the Third Proportional to 1,771,360,338 and 3,805,595,321

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Solution

The third proportional to 1,771,360,338 and 3,805,595,321 is: 8,175,951,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771,360,338 : 3,805,595,321 = 3,805,595,321 : x
  2. Step 2: Convert to fraction form
    1,771,360,338/3,805,595,321 = 3,805,595,321/x
  3. Step 3: Cross multiply
    1,771,360,338x = 3,805,595,321 × 3,805,595,321
  4. Step 4: Simplify right side
    1,771,360,338x = 14,482,555,747,217,092,608
  5. Step 5: Solve for x
    x = 14,482,555,747,217,092,608/1,771,360,338
  6. Step 6: Final answer
    x = 8,175,951,237.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.