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Finding the Third Proportional to 24,820,921,134 and 34,828,665,894

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Solution

The third proportional to 24,820,921,134 and 34,828,665,894 is: 48,871,512,922.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820,921,134 : 34,828,665,894 = 34,828,665,894 : x
  2. Step 2: Convert to fraction form
    24,820,921,134/34,828,665,894 = 34,828,665,894/x
  3. Step 3: Cross multiply
    24,820,921,134x = 34,828,665,894 × 34,828,665,894
  4. Step 4: Simplify right side
    24,820,921,134x = 1,213,035,967,955,878,805,504
  5. Step 5: Solve for x
    x = 1,213,035,967,955,878,805,504/24,820,921,134
  6. Step 6: Final answer
    x = 48,871,512,922.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.