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Finding the Third Proportional to 2,594,521,422 and 3,874,780,440

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Solution

The third proportional to 2,594,521,422 and 3,874,780,440 is: 5,786,779,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594,521,422 : 3,874,780,440 = 3,874,780,440 : x
  2. Step 2: Convert to fraction form
    2,594,521,422/3,874,780,440 = 3,874,780,440/x
  3. Step 3: Cross multiply
    2,594,521,422x = 3,874,780,440 × 3,874,780,440
  4. Step 4: Simplify right side
    2,594,521,422x = 15,013,923,458,206,593,024
  5. Step 5: Solve for x
    x = 15,013,923,458,206,593,024/2,594,521,422
  6. Step 6: Final answer
    x = 5,786,779,531.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.