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Finding the Third Proportional to 1,441,890,742 and 2,960,220,415

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Solution

The third proportional to 1,441,890,742 and 2,960,220,415 is: 6,077,370,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,890,742 : 2,960,220,415 = 2,960,220,415 : x
  2. Step 2: Convert to fraction form
    1,441,890,742/2,960,220,415 = 2,960,220,415/x
  3. Step 3: Cross multiply
    1,441,890,742x = 2,960,220,415 × 2,960,220,415
  4. Step 4: Simplify right side
    1,441,890,742x = 8,762,904,905,382,772,736
  5. Step 5: Solve for x
    x = 8,762,904,905,382,772,736/1,441,890,742
  6. Step 6: Final answer
    x = 6,077,370,947.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.