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Finding the Third Proportional to 411,769,310.48 and 627,302,248.45

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Solution

The third proportional to 411,769,310.48 and 627,302,248.45 is: 955,651,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,769,310.48 : 627,302,248.45 = 627,302,248.45 : x
  2. Step 2: Convert to fraction form
    411,769,310.48/627,302,248.45 = 627,302,248.45/x
  3. Step 3: Cross multiply
    411,769,310.48x = 627,302,248.45 × 627,302,248.45
  4. Step 4: Simplify right side
    411,769,310.48x = 393,508,110,914,364,992
  5. Step 5: Solve for x
    x = 393,508,110,914,364,992/411,769,310.48
  6. Step 6: Final answer
    x = 955,651,868.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.