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Finding the Third Proportional to 1,396,973,415 and 2,328,148,715

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Solution

The third proportional to 1,396,973,415 and 2,328,148,715 is: 3,880,014,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396,973,415 : 2,328,148,715 = 2,328,148,715 : x
  2. Step 2: Convert to fraction form
    1,396,973,415/2,328,148,715 = 2,328,148,715/x
  3. Step 3: Cross multiply
    1,396,973,415x = 2,328,148,715 × 2,328,148,715
  4. Step 4: Simplify right side
    1,396,973,415x = 5,420,276,439,156,151,296
  5. Step 5: Solve for x
    x = 5,420,276,439,156,151,296/1,396,973,415
  6. Step 6: Final answer
    x = 3,880,014,022.43

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.