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Finding the Third Proportional to 454,869,327 and 650,018,791.50

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Solution

The third proportional to 454,869,327 and 650,018,791.50 is: 928,891,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,869,327 : 650,018,791.50 = 650,018,791.50 : x
  2. Step 2: Convert to fraction form
    454,869,327/650,018,791.50 = 650,018,791.50/x
  3. Step 3: Cross multiply
    454,869,327x = 650,018,791.50 × 650,018,791.50
  4. Step 4: Simplify right side
    454,869,327x = 422,524,429,303,120,448
  5. Step 5: Solve for x
    x = 422,524,429,303,120,448/454,869,327
  6. Step 6: Final answer
    x = 928,891,890.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.