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Finding the Third Proportional to 6,647,368.36 and 14,459,416.31

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Solution

The third proportional to 6,647,368.36 and 14,459,416.31 is: 31,452,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647,368.36 : 14,459,416.31 = 14,459,416.31 : x
  2. Step 2: Convert to fraction form
    6,647,368.36/14,459,416.31 = 14,459,416.31/x
  3. Step 3: Cross multiply
    6,647,368.36x = 14,459,416.31 × 14,459,416.31
  4. Step 4: Simplify right side
    6,647,368.36x = 209,074,720,098,191.09
  5. Step 5: Solve for x
    x = 209,074,720,098,191.09/6,647,368.36
  6. Step 6: Final answer
    x = 31,452,254.31

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