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Finding the Third Proportional to 5,723,276,831 and 8,639,327,684

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Solution

The third proportional to 5,723,276,831 and 8,639,327,684 is: 13,041,127,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723,276,831 : 8,639,327,684 = 8,639,327,684 : x
  2. Step 2: Convert to fraction form
    5,723,276,831/8,639,327,684 = 8,639,327,684/x
  3. Step 3: Cross multiply
    5,723,276,831x = 8,639,327,684 × 8,639,327,684
  4. Step 4: Simplify right side
    5,723,276,831x = 74,637,982,831,528,804,352
  5. Step 5: Solve for x
    x = 74,637,982,831,528,804,352/5,723,276,831
  6. Step 6: Final answer
    x = 13,041,127,493.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.