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Finding the Third Proportional to 7,290,261 and 11,221,164

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Solution

The third proportional to 7,290,261 and 11,221,164 is: 17,271,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290,261 : 11,221,164 = 11,221,164 : x
  2. Step 2: Convert to fraction form
    7,290,261/11,221,164 = 11,221,164/x
  3. Step 3: Cross multiply
    7,290,261x = 11,221,164 × 11,221,164
  4. Step 4: Simplify right side
    7,290,261x = 125,914,521,514,896
  5. Step 5: Solve for x
    x = 125,914,521,514,896/7,290,261
  6. Step 6: Final answer
    x = 17,271,606.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.