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Finding the Third Proportional to 6,197,964 and 13,391,835

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Solution

The third proportional to 6,197,964 and 13,391,835 is: 28,935,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197,964 : 13,391,835 = 13,391,835 : x
  2. Step 2: Convert to fraction form
    6,197,964/13,391,835 = 13,391,835/x
  3. Step 3: Cross multiply
    6,197,964x = 13,391,835 × 13,391,835
  4. Step 4: Simplify right side
    6,197,964x = 179,341,244,667,225
  5. Step 5: Solve for x
    x = 179,341,244,667,225/6,197,964
  6. Step 6: Final answer
    x = 28,935,509.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.