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Finding the Third Proportional to 6,787,338 and 14,637,384

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Solution

The third proportional to 6,787,338 and 14,637,384 is: 31,566,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,338 : 14,637,384 = 14,637,384 : x
  2. Step 2: Convert to fraction form
    6,787,338/14,637,384 = 14,637,384/x
  3. Step 3: Cross multiply
    6,787,338x = 14,637,384 × 14,637,384
  4. Step 4: Simplify right side
    6,787,338x = 214,253,010,363,456
  5. Step 5: Solve for x
    x = 214,253,010,363,456/6,787,338
  6. Step 6: Final answer
    x = 31,566,574.46

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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.