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Finding the Third Proportional to 2,185,734,483 and 3,357,555,519

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Solution

The third proportional to 2,185,734,483 and 3,357,555,519 is: 5,157,615,964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185,734,483 : 3,357,555,519 = 3,357,555,519 : x
  2. Step 2: Convert to fraction form
    2,185,734,483/3,357,555,519 = 3,357,555,519/x
  3. Step 3: Cross multiply
    2,185,734,483x = 3,357,555,519 × 3,357,555,519
  4. Step 4: Simplify right side
    2,185,734,483x = 11,273,179,063,167,358,976
  5. Step 5: Solve for x
    x = 11,273,179,063,167,358,976/2,185,734,483
  6. Step 6: Final answer
    x = 5,157,615,964.27

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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.