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Finding the Third Proportional to 5,390,037 and 8,141,085

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Solution

The third proportional to 5,390,037 and 8,141,085 is: 12,296,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390,037 : 8,141,085 = 8,141,085 : x
  2. Step 2: Convert to fraction form
    5,390,037/8,141,085 = 8,141,085/x
  3. Step 3: Cross multiply
    5,390,037x = 8,141,085 × 8,141,085
  4. Step 4: Simplify right side
    5,390,037x = 66,277,264,977,225
  5. Step 5: Solve for x
    x = 66,277,264,977,225/5,390,037
  6. Step 6: Final answer
    x = 12,296,254.18

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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.