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Finding the Third Proportional to 3,457,890 and 7,588,384

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Solution

The third proportional to 3,457,890 and 7,588,384 is: 16,652,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,890 : 7,588,384 = 7,588,384 : x
  2. Step 2: Convert to fraction form
    3,457,890/7,588,384 = 7,588,384/x
  3. Step 3: Cross multiply
    3,457,890x = 7,588,384 × 7,588,384
  4. Step 4: Simplify right side
    3,457,890x = 57,583,571,731,456
  5. Step 5: Solve for x
    x = 57,583,571,731,456/3,457,890
  6. Step 6: Final answer
    x = 16,652,806.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.