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Finding the Third Proportional to 6,787,744 and 14,637,642

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Solution

The third proportional to 6,787,744 and 14,637,642 is: 31,565,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,744 : 14,637,642 = 14,637,642 : x
  2. Step 2: Convert to fraction form
    6,787,744/14,637,642 = 14,637,642/x
  3. Step 3: Cross multiply
    6,787,744x = 14,637,642 × 14,637,642
  4. Step 4: Simplify right side
    6,787,744x = 214,260,563,320,164
  5. Step 5: Solve for x
    x = 214,260,563,320,164/6,787,744
  6. Step 6: Final answer
    x = 31,565,799.08

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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.