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Finding the Third Proportional to 284,533,314 and 426,799,942

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Solution

The third proportional to 284,533,314 and 426,799,942 is: 640,199,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,533,314 : 426,799,942 = 426,799,942 : x
  2. Step 2: Convert to fraction form
    284,533,314/426,799,942 = 426,799,942/x
  3. Step 3: Cross multiply
    284,533,314x = 426,799,942 × 426,799,942
  4. Step 4: Simplify right side
    284,533,314x = 182,158,190,491,203,360
  5. Step 5: Solve for x
    x = 182,158,190,491,203,360/284,533,314
  6. Step 6: Final answer
    x = 640,199,869.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.