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Finding the Third Proportional to 6,460,278 and 9,409,995

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Solution

The third proportional to 6,460,278 and 9,409,995 is: 13,706,531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460,278 : 9,409,995 = 9,409,995 : x
  2. Step 2: Convert to fraction form
    6,460,278/9,409,995 = 9,409,995/x
  3. Step 3: Cross multiply
    6,460,278x = 9,409,995 × 9,409,995
  4. Step 4: Simplify right side
    6,460,278x = 88,548,005,900,025
  5. Step 5: Solve for x
    x = 88,548,005,900,025/6,460,278
  6. Step 6: Final answer
    x = 13,706,531.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.