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Finding the Third Proportional to 346,394,352.75 and 753,771,560.25

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Solution

The third proportional to 346,394,352.75 and 753,771,560.25 is: 1,640,244,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,394,352.75 : 753,771,560.25 = 753,771,560.25 : x
  2. Step 2: Convert to fraction form
    346,394,352.75/753,771,560.25 = 753,771,560.25/x
  3. Step 3: Cross multiply
    346,394,352.75x = 753,771,560.25 × 753,771,560.25
  4. Step 4: Simplify right side
    346,394,352.75x = 568,171,565,041,719,360
  5. Step 5: Solve for x
    x = 568,171,565,041,719,360/346,394,352.75
  6. Step 6: Final answer
    x = 1,640,244,884.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.