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Finding the Third Proportional to 14,082,027 and 30,185,113

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Solution

The third proportional to 14,082,027 and 30,185,113 is: 64,702,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082,027 : 30,185,113 = 30,185,113 : x
  2. Step 2: Convert to fraction form
    14,082,027/30,185,113 = 30,185,113/x
  3. Step 3: Cross multiply
    14,082,027x = 30,185,113 × 30,185,113
  4. Step 4: Simplify right side
    14,082,027x = 911,141,046,822,769
  5. Step 5: Solve for x
    x = 911,141,046,822,769/14,082,027
  6. Step 6: Final answer
    x = 64,702,407.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.