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Finding the Third Proportional to 11,587,006 and 25,164,970

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Solution

The third proportional to 11,587,006 and 25,164,970 is: 54,653,955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587,006 : 25,164,970 = 25,164,970 : x
  2. Step 2: Convert to fraction form
    11,587,006/25,164,970 = 25,164,970/x
  3. Step 3: Cross multiply
    11,587,006x = 25,164,970 × 25,164,970
  4. Step 4: Simplify right side
    11,587,006x = 633,275,715,100,900
  5. Step 5: Solve for x
    x = 633,275,715,100,900/11,587,006
  6. Step 6: Final answer
    x = 54,653,955.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.