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Finding the Third Proportional to 9,465,812 and 13,534,950

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Solution

The third proportional to 9,465,812 and 13,534,950 is: 19,353,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465,812 : 13,534,950 = 13,534,950 : x
  2. Step 2: Convert to fraction form
    9,465,812/13,534,950 = 13,534,950/x
  3. Step 3: Cross multiply
    9,465,812x = 13,534,950 × 13,534,950
  4. Step 4: Simplify right side
    9,465,812x = 183,194,871,502,500
  5. Step 5: Solve for x
    x = 183,194,871,502,500/9,465,812
  6. Step 6: Final answer
    x = 19,353,318.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.