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Finding the Third Proportional to 2,955,150 and 6,266,145

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Solution

The third proportional to 2,955,150 and 6,266,145 is: 13,286,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955,150 : 6,266,145 = 6,266,145 : x
  2. Step 2: Convert to fraction form
    2,955,150/6,266,145 = 6,266,145/x
  3. Step 3: Cross multiply
    2,955,150x = 6,266,145 × 6,266,145
  4. Step 4: Simplify right side
    2,955,150x = 39,264,573,161,025
  5. Step 5: Solve for x
    x = 39,264,573,161,025/2,955,150
  6. Step 6: Final answer
    x = 13,286,829.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.