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Finding the Third Proportional to 607,882,464.50 and 1,433,555,713.25

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Solution

The third proportional to 607,882,464.50 and 1,433,555,713.25 is: 3,380,722,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,882,464.50 : 1,433,555,713.25 = 1,433,555,713.25 : x
  2. Step 2: Convert to fraction form
    607,882,464.50/1,433,555,713.25 = 1,433,555,713.25/x
  3. Step 3: Cross multiply
    607,882,464.50x = 1,433,555,713.25 × 1,433,555,713.25
  4. Step 4: Simplify right side
    607,882,464.50x = 2,055,081,982,991,716,352
  5. Step 5: Solve for x
    x = 2,055,081,982,991,716,352/607,882,464.50
  6. Step 6: Final answer
    x = 3,380,722,595.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.