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Finding the Third Proportional to 24,162,343,436 and 49,013,646,160

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Solution

The third proportional to 24,162,343,436 and 49,013,646,160 is: 99,424,855,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,162,343,436 : 49,013,646,160 = 49,013,646,160 : x
  2. Step 2: Convert to fraction form
    24,162,343,436/49,013,646,160 = 49,013,646,160/x
  3. Step 3: Cross multiply
    24,162,343,436x = 49,013,646,160 × 49,013,646,160
  4. Step 4: Simplify right side
    24,162,343,436x = 2,402,337,509,897,682,812,928
  5. Step 5: Solve for x
    x = 2,402,337,509,897,682,812,928/24,162,343,436
  6. Step 6: Final answer
    x = 99,424,855,716.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.