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Finding the Third Proportional to 2,542,769 and 6,001,316

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Solution

The third proportional to 2,542,769 and 6,001,316 is: 14,164,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542,769 : 6,001,316 = 6,001,316 : x
  2. Step 2: Convert to fraction form
    2,542,769/6,001,316 = 6,001,316/x
  3. Step 3: Cross multiply
    2,542,769x = 6,001,316 × 6,001,316
  4. Step 4: Simplify right side
    2,542,769x = 36,015,793,731,856
  5. Step 5: Solve for x
    x = 36,015,793,731,856/2,542,769
  6. Step 6: Final answer
    x = 14,164,005.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.