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Finding the Third Proportional to 5,468,403 and 11,966,142

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Solution

The third proportional to 5,468,403 and 11,966,142 is: 26,184,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468,403 : 11,966,142 = 11,966,142 : x
  2. Step 2: Convert to fraction form
    5,468,403/11,966,142 = 11,966,142/x
  3. Step 3: Cross multiply
    5,468,403x = 11,966,142 × 11,966,142
  4. Step 4: Simplify right side
    5,468,403x = 143,188,554,364,164
  5. Step 5: Solve for x
    x = 143,188,554,364,164/5,468,403
  6. Step 6: Final answer
    x = 26,184,711.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.