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Finding the Third Proportional to 1,318,614,226,216 and 2,856,290,525,198

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Solution

The third proportional to 1,318,614,226,216 and 2,856,290,525,198 is: 6,187,098,092,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318,614,226,216 : 2,856,290,525,198 = 2,856,290,525,198 : x
  2. Step 2: Convert to fraction form
    1,318,614,226,216/2,856,290,525,198 = 2,856,290,525,198/x
  3. Step 3: Cross multiply
    1,318,614,226,216x = 2,856,290,525,198 × 2,856,290,525,198
  4. Step 4: Simplify right side
    1,318,614,226,216x = 8,158,395,564,335,866,520,272,896
  5. Step 5: Solve for x
    x = 8,158,395,564,335,866,520,272,896/1,318,614,226,216
  6. Step 6: Final answer
    x = 6,187,098,092,933.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.