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Finding the Third Proportional to 2,941,454 and 6,371,341

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Solution

The third proportional to 2,941,454 and 6,371,341 is: 13,800,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941,454 : 6,371,341 = 6,371,341 : x
  2. Step 2: Convert to fraction form
    2,941,454/6,371,341 = 6,371,341/x
  3. Step 3: Cross multiply
    2,941,454x = 6,371,341 × 6,371,341
  4. Step 4: Simplify right side
    2,941,454x = 40,593,986,138,281
  5. Step 5: Solve for x
    x = 40,593,986,138,281/2,941,454
  6. Step 6: Final answer
    x = 13,800,653.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.