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Finding the Third Proportional to 5,423,656.42 and 11,677,559.65

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Solution

The third proportional to 5,423,656.42 and 11,677,559.65 is: 25,142,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423,656.42 : 11,677,559.65 = 11,677,559.65 : x
  2. Step 2: Convert to fraction form
    5,423,656.42/11,677,559.65 = 11,677,559.65/x
  3. Step 3: Cross multiply
    5,423,656.42x = 11,677,559.65 × 11,677,559.65
  4. Step 4: Simplify right side
    5,423,656.42x = 136,365,399,359,900.02
  5. Step 5: Solve for x
    x = 136,365,399,359,900.02/5,423,656.42
  6. Step 6: Final answer
    x = 25,142,706.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.