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Finding the Third Proportional to 2,450,115,324 and 3,766,002,750

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Solution

The third proportional to 2,450,115,324 and 3,766,002,750 is: 5,788,615,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450,115,324 : 3,766,002,750 = 3,766,002,750 : x
  2. Step 2: Convert to fraction form
    2,450,115,324/3,766,002,750 = 3,766,002,750/x
  3. Step 3: Cross multiply
    2,450,115,324x = 3,766,002,750 × 3,766,002,750
  4. Step 4: Simplify right side
    2,450,115,324x = 14,182,776,713,007,562,752
  5. Step 5: Solve for x
    x = 14,182,776,713,007,562,752/2,450,115,324
  6. Step 6: Final answer
    x = 5,788,615,978.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.