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Finding the Third Proportional to 6,425,216 and 13,970,158

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Solution

The third proportional to 6,425,216 and 13,970,158 is: 30,374,903.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425,216 : 13,970,158 = 13,970,158 : x
  2. Step 2: Convert to fraction form
    6,425,216/13,970,158 = 13,970,158/x
  3. Step 3: Cross multiply
    6,425,216x = 13,970,158 × 13,970,158
  4. Step 4: Simplify right side
    6,425,216x = 195,165,314,544,964
  5. Step 5: Solve for x
    x = 195,165,314,544,964/6,425,216
  6. Step 6: Final answer
    x = 30,374,903.28

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