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Finding the Third Proportional to 717,408,357 and 1,544,844,682.50

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Solution

The third proportional to 717,408,357 and 1,544,844,682.50 is: 3,326,620,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,408,357 : 1,544,844,682.50 = 1,544,844,682.50 : x
  2. Step 2: Convert to fraction form
    717,408,357/1,544,844,682.50 = 1,544,844,682.50/x
  3. Step 3: Cross multiply
    717,408,357x = 1,544,844,682.50 × 1,544,844,682.50
  4. Step 4: Simplify right side
    717,408,357x = 2,386,545,093,048,525,824
  5. Step 5: Solve for x
    x = 2,386,545,093,048,525,824/717,408,357
  6. Step 6: Final answer
    x = 3,326,620,145.64

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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.