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Finding the Third Proportional to 5,834,290 and 8,831,943

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Solution

The third proportional to 5,834,290 and 8,831,943 is: 13,369,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834,290 : 8,831,943 = 8,831,943 : x
  2. Step 2: Convert to fraction form
    5,834,290/8,831,943 = 8,831,943/x
  3. Step 3: Cross multiply
    5,834,290x = 8,831,943 × 8,831,943
  4. Step 4: Simplify right side
    5,834,290x = 78,003,217,155,249
  5. Step 5: Solve for x
    x = 78,003,217,155,249/5,834,290
  6. Step 6: Final answer
    x = 13,369,787.44

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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.