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Finding the Third Proportional to 1,406,197,328 and 2,971,826,632

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Solution

The third proportional to 1,406,197,328 and 2,971,826,632 is: 6,280,593,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,197,328 : 2,971,826,632 = 2,971,826,632 : x
  2. Step 2: Convert to fraction form
    1,406,197,328/2,971,826,632 = 2,971,826,632/x
  3. Step 3: Cross multiply
    1,406,197,328x = 2,971,826,632 × 2,971,826,632
  4. Step 4: Simplify right side
    1,406,197,328x = 8,831,753,530,664,463,360
  5. Step 5: Solve for x
    x = 8,831,753,530,664,463,360/1,406,197,328
  6. Step 6: Final answer
    x = 6,280,593,309.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.