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Finding the Third Proportional to 6,142,743.84 and 13,365,865.69

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Solution

The third proportional to 6,142,743.84 and 13,365,865.69 is: 29,082,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142,743.84 : 13,365,865.69 = 13,365,865.69 : x
  2. Step 2: Convert to fraction form
    6,142,743.84/13,365,865.69 = 13,365,865.69/x
  3. Step 3: Cross multiply
    6,142,743.84x = 13,365,865.69 × 13,365,865.69
  4. Step 4: Simplify right side
    6,142,743.84x = 178,646,365,576,289.84
  5. Step 5: Solve for x
    x = 178,646,365,576,289.84/6,142,743.84
  6. Step 6: Final answer
    x = 29,082,502.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.