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Finding the Third Proportional to 411,061,008 and 970,030,392

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Solution

The third proportional to 411,061,008 and 970,030,392 is: 2,289,098,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,061,008 : 970,030,392 = 970,030,392 : x
  2. Step 2: Convert to fraction form
    411,061,008/970,030,392 = 970,030,392/x
  3. Step 3: Cross multiply
    411,061,008x = 970,030,392 × 970,030,392
  4. Step 4: Simplify right side
    411,061,008x = 940,958,961,403,673,600
  5. Step 5: Solve for x
    x = 940,958,961,403,673,600/411,061,008
  6. Step 6: Final answer
    x = 2,289,098,073.26

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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.