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Finding the Third Proportional to 5,529,187,468 and 12,185,399,464

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Solution

The third proportional to 5,529,187,468 and 12,185,399,464 is: 26,854,571,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,529,187,468 : 12,185,399,464 = 12,185,399,464 : x
  2. Step 2: Convert to fraction form
    5,529,187,468/12,185,399,464 = 12,185,399,464/x
  3. Step 3: Cross multiply
    5,529,187,468x = 12,185,399,464 × 12,185,399,464
  4. Step 4: Simplify right side
    5,529,187,468x = 148,483,960,097,251,491,840
  5. Step 5: Solve for x
    x = 148,483,960,097,251,491,840/5,529,187,468
  6. Step 6: Final answer
    x = 26,854,571,482.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.