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Finding the Third Proportional to 284,320,993 and 436,827,782

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Solution

The third proportional to 284,320,993 and 436,827,782 is: 671,137,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,320,993 : 436,827,782 = 436,827,782 : x
  2. Step 2: Convert to fraction form
    284,320,993/436,827,782 = 436,827,782/x
  3. Step 3: Cross multiply
    284,320,993x = 436,827,782 × 436,827,782
  4. Step 4: Simplify right side
    284,320,993x = 190,818,511,127,039,520
  5. Step 5: Solve for x
    x = 190,818,511,127,039,520/284,320,993
  6. Step 6: Final answer
    x = 671,137,607.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.