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Finding the Third Proportional to 14,907,624 and 31,534,077

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Solution

The third proportional to 14,907,624 and 31,534,077 is: 66,703,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,907,624 : 31,534,077 = 31,534,077 : x
  2. Step 2: Convert to fraction form
    14,907,624/31,534,077 = 31,534,077/x
  3. Step 3: Cross multiply
    14,907,624x = 31,534,077 × 31,534,077
  4. Step 4: Simplify right side
    14,907,624x = 994,398,012,241,929
  5. Step 5: Solve for x
    x = 994,398,012,241,929/14,907,624
  6. Step 6: Final answer
    x = 66,703,990.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.