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Finding the Third Proportional to 11,587,008 and 25,164,972

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Solution

The third proportional to 11,587,008 and 25,164,972 is: 54,653,955.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587,008 : 25,164,972 = 25,164,972 : x
  2. Step 2: Convert to fraction form
    11,587,008/25,164,972 = 25,164,972/x
  3. Step 3: Cross multiply
    11,587,008x = 25,164,972 × 25,164,972
  4. Step 4: Simplify right side
    11,587,008x = 633,275,815,760,784
  5. Step 5: Solve for x
    x = 633,275,815,760,784/11,587,008
  6. Step 6: Final answer
    x = 54,653,955.17

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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.