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Finding the Third Proportional to 6,114,288 and 9,186,840

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Solution

The third proportional to 6,114,288 and 9,186,840 is: 13,803,410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114,288 : 9,186,840 = 9,186,840 : x
  2. Step 2: Convert to fraction form
    6,114,288/9,186,840 = 9,186,840/x
  3. Step 3: Cross multiply
    6,114,288x = 9,186,840 × 9,186,840
  4. Step 4: Simplify right side
    6,114,288x = 84,398,029,185,600
  5. Step 5: Solve for x
    x = 84,398,029,185,600/6,114,288
  6. Step 6: Final answer
    x = 13,803,410.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.