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Finding the Third Proportional to 284,533,310 and 426,799,936

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Solution

The third proportional to 284,533,310 and 426,799,936 is: 640,199,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,533,310 : 426,799,936 = 426,799,936 : x
  2. Step 2: Convert to fraction form
    284,533,310/426,799,936 = 426,799,936/x
  3. Step 3: Cross multiply
    284,533,310x = 426,799,936 × 426,799,936
  4. Step 4: Simplify right side
    284,533,310x = 182,158,185,369,604,096
  5. Step 5: Solve for x
    x = 182,158,185,369,604,096/284,533,310
  6. Step 6: Final answer
    x = 640,199,860.50

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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.