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Finding the Third Proportional to 284,496,696,525 and 614,337,232,456.50

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Solution

The third proportional to 284,496,696,525 and 614,337,232,456.50 is: 1,326,589,165,330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,496,696,525 : 614,337,232,456.50 = 614,337,232,456.50 : x
  2. Step 2: Convert to fraction form
    284,496,696,525/614,337,232,456.50 = 614,337,232,456.50/x
  3. Step 3: Cross multiply
    284,496,696,525x = 614,337,232,456.50 × 614,337,232,456.50
  4. Step 4: Simplify right side
    284,496,696,525x = 377,410,235,182,311,731,625,984
  5. Step 5: Solve for x
    x = 377,410,235,182,311,731,625,984/284,496,696,525
  6. Step 6: Final answer
    x = 1,326,589,165,330.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.