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Finding the Third Proportional to 24,492,426,972,166 and 52,478,364,191,832

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Solution

The third proportional to 24,492,426,972,166 and 52,478,364,191,832 is: 112,442,050,409,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492,426,972,166 : 52,478,364,191,832 = 52,478,364,191,832 : x
  2. Step 2: Convert to fraction form
    24,492,426,972,166/52,478,364,191,832 = 52,478,364,191,832/x
  3. Step 3: Cross multiply
    24,492,426,972,166x = 52,478,364,191,832 × 52,478,364,191,832
  4. Step 4: Simplify right side
    24,492,426,972,166x = 2,753,978,708,250,554,820,743,659,520
  5. Step 5: Solve for x
    x = 2,753,978,708,250,554,820,743,659,520/24,492,426,972,166
  6. Step 6: Final answer
    x = 112,442,050,409,306.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.