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Finding the Third Proportional to 1,863,340,121 and 3,988,431,337

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Solution

The third proportional to 1,863,340,121 and 3,988,431,337 is: 8,537,134,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,340,121 : 3,988,431,337 = 3,988,431,337 : x
  2. Step 2: Convert to fraction form
    1,863,340,121/3,988,431,337 = 3,988,431,337/x
  3. Step 3: Cross multiply
    1,863,340,121x = 3,988,431,337 × 3,988,431,337
  4. Step 4: Simplify right side
    1,863,340,121x = 15,907,584,529,963,608,064
  5. Step 5: Solve for x
    x = 15,907,584,529,963,608,064/1,863,340,121
  6. Step 6: Final answer
    x = 8,537,134,123.12

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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.