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Finding the Third Proportional to 5,827,890 and 8,823,117

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Solution

The third proportional to 5,827,890 and 8,823,117 is: 13,357,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827,890 : 8,823,117 = 8,823,117 : x
  2. Step 2: Convert to fraction form
    5,827,890/8,823,117 = 8,823,117/x
  3. Step 3: Cross multiply
    5,827,890x = 8,823,117 × 8,823,117
  4. Step 4: Simplify right side
    5,827,890x = 77,847,393,595,689
  5. Step 5: Solve for x
    x = 77,847,393,595,689/5,827,890
  6. Step 6: Final answer
    x = 13,357,732.15

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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.