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Finding the Third Proportional to 2,955,352 and 6,382,231

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Solution

The third proportional to 2,955,352 and 6,382,231 is: 13,782,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955,352 : 6,382,231 = 6,382,231 : x
  2. Step 2: Convert to fraction form
    2,955,352/6,382,231 = 6,382,231/x
  3. Step 3: Cross multiply
    2,955,352x = 6,382,231 × 6,382,231
  4. Step 4: Simplify right side
    2,955,352x = 40,732,872,537,361
  5. Step 5: Solve for x
    x = 40,732,872,537,361/2,955,352
  6. Step 6: Final answer
    x = 13,782,748.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.