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Finding the Third Proportional to 1,527,980,544 and 3,273,785,424

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Solution

The third proportional to 1,527,980,544 and 3,273,785,424 is: 7,014,271,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,980,544 : 3,273,785,424 = 3,273,785,424 : x
  2. Step 2: Convert to fraction form
    1,527,980,544/3,273,785,424 = 3,273,785,424/x
  3. Step 3: Cross multiply
    1,527,980,544x = 3,273,785,424 × 3,273,785,424
  4. Step 4: Simplify right side
    1,527,980,544x = 10,717,671,002,394,859,520
  5. Step 5: Solve for x
    x = 10,717,671,002,394,859,520/1,527,980,544
  6. Step 6: Final answer
    x = 7,014,271,905.80

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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.