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Finding the Third Proportional to 6,646,764 and 14,459,928

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Solution

The third proportional to 6,646,764 and 14,459,928 is: 31,457,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646,764 : 14,459,928 = 14,459,928 : x
  2. Step 2: Convert to fraction form
    6,646,764/14,459,928 = 14,459,928/x
  3. Step 3: Cross multiply
    6,646,764x = 14,459,928 × 14,459,928
  4. Step 4: Simplify right side
    6,646,764x = 209,089,517,765,184
  5. Step 5: Solve for x
    x = 209,089,517,765,184/6,646,764
  6. Step 6: Final answer
    x = 31,457,340.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.