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Finding the Third Proportional to 24,492,426,972,014 and 52,478,364,191,566

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Solution

The third proportional to 24,492,426,972,014 and 52,478,364,191,566 is: 112,442,050,408,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492,426,972,014 : 52,478,364,191,566 = 52,478,364,191,566 : x
  2. Step 2: Convert to fraction form
    24,492,426,972,014/52,478,364,191,566 = 52,478,364,191,566/x
  3. Step 3: Cross multiply
    24,492,426,972,014x = 52,478,364,191,566 × 52,478,364,191,566
  4. Step 4: Simplify right side
    24,492,426,972,014x = 2,753,978,708,222,636,571,246,985,216
  5. Step 5: Solve for x
    x = 2,753,978,708,222,636,571,246,985,216/24,492,426,972,014
  6. Step 6: Final answer
    x = 112,442,050,408,864.73

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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.