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Finding the Third Proportional to 409,861,400 and 633,944,388

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Solution

The third proportional to 409,861,400 and 633,944,388 is: 980,539,975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,861,400 : 633,944,388 = 633,944,388 : x
  2. Step 2: Convert to fraction form
    409,861,400/633,944,388 = 633,944,388/x
  3. Step 3: Cross multiply
    409,861,400x = 633,944,388 × 633,944,388
  4. Step 4: Simplify right side
    409,861,400x = 401,885,487,076,694,528
  5. Step 5: Solve for x
    x = 401,885,487,076,694,528/409,861,400
  6. Step 6: Final answer
    x = 980,539,975.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.