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Finding the Third Proportional to 6,146,890 and 9,497,516

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Solution

The third proportional to 6,146,890 and 9,497,516 is: 14,674,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146,890 : 9,497,516 = 9,497,516 : x
  2. Step 2: Convert to fraction form
    6,146,890/9,497,516 = 9,497,516/x
  3. Step 3: Cross multiply
    6,146,890x = 9,497,516 × 9,497,516
  4. Step 4: Simplify right side
    6,146,890x = 90,202,810,170,256
  5. Step 5: Solve for x
    x = 90,202,810,170,256/6,146,890
  6. Step 6: Final answer
    x = 14,674,544.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.