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Finding the Third Proportional to 993,168,019 and 2,128,930,374

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Solution

The third proportional to 993,168,019 and 2,128,930,374 is: 4,563,522,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,168,019 : 2,128,930,374 = 2,128,930,374 : x
  2. Step 2: Convert to fraction form
    993,168,019/2,128,930,374 = 2,128,930,374/x
  3. Step 3: Cross multiply
    993,168,019x = 2,128,930,374 × 2,128,930,374
  4. Step 4: Simplify right side
    993,168,019x = 4,532,344,537,339,780,096
  5. Step 5: Solve for x
    x = 4,532,344,537,339,780,096/993,168,019
  6. Step 6: Final answer
    x = 4,563,522,435.92

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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.