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Finding the Third Proportional to 2,955,148 and 6,266,142

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Solution

The third proportional to 2,955,148 and 6,266,142 is: 13,286,825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955,148 : 6,266,142 = 6,266,142 : x
  2. Step 2: Convert to fraction form
    2,955,148/6,266,142 = 6,266,142/x
  3. Step 3: Cross multiply
    2,955,148x = 6,266,142 × 6,266,142
  4. Step 4: Simplify right side
    2,955,148x = 39,264,535,564,164
  5. Step 5: Solve for x
    x = 39,264,535,564,164/2,955,148
  6. Step 6: Final answer
    x = 13,286,825.42

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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.