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Finding the Third Proportional to 411,747,952.50 and 906,400,701

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Solution

The third proportional to 411,747,952.50 and 906,400,701 is: 1,995,303,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,747,952.50 : 906,400,701 = 906,400,701 : x
  2. Step 2: Convert to fraction form
    411,747,952.50/906,400,701 = 906,400,701/x
  3. Step 3: Cross multiply
    411,747,952.50x = 906,400,701 × 906,400,701
  4. Step 4: Simplify right side
    411,747,952.50x = 821,562,230,773,291,392
  5. Step 5: Solve for x
    x = 821,562,230,773,291,392/411,747,952.50
  6. Step 6: Final answer
    x = 1,995,303,742.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.