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Finding the Third Proportional to 2,942,312 and 6,335,486

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Solution

The third proportional to 2,942,312 and 6,335,486 is: 13,641,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942,312 : 6,335,486 = 6,335,486 : x
  2. Step 2: Convert to fraction form
    2,942,312/6,335,486 = 6,335,486/x
  3. Step 3: Cross multiply
    2,942,312x = 6,335,486 × 6,335,486
  4. Step 4: Simplify right side
    2,942,312x = 40,138,382,856,196
  5. Step 5: Solve for x
    x = 40,138,382,856,196/2,942,312
  6. Step 6: Final answer
    x = 13,641,783.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.