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Finding the Third Proportional to 2,267,576,873 and 3,520,752,729

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Solution

The third proportional to 2,267,576,873 and 3,520,752,729 is: 5,466,495,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267,576,873 : 3,520,752,729 = 3,520,752,729 : x
  2. Step 2: Convert to fraction form
    2,267,576,873/3,520,752,729 = 3,520,752,729/x
  3. Step 3: Cross multiply
    2,267,576,873x = 3,520,752,729 × 3,520,752,729
  4. Step 4: Simplify right side
    2,267,576,873x = 12,395,699,778,760,947,712
  5. Step 5: Solve for x
    x = 12,395,699,778,760,947,712/2,267,576,873
  6. Step 6: Final answer
    x = 5,466,495,943.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.