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Finding the Third Proportional to 6,933,047 and 15,459,364

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Solution

The third proportional to 6,933,047 and 15,459,364 is: 34,471,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933,047 : 15,459,364 = 15,459,364 : x
  2. Step 2: Convert to fraction form
    6,933,047/15,459,364 = 15,459,364/x
  3. Step 3: Cross multiply
    6,933,047x = 15,459,364 × 15,459,364
  4. Step 4: Simplify right side
    6,933,047x = 238,991,935,284,496
  5. Step 5: Solve for x
    x = 238,991,935,284,496/6,933,047
  6. Step 6: Final answer
    x = 34,471,414.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.