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Finding the Third Proportional to 7,084,648.50 and 14,673,381

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Solution

The third proportional to 7,084,648.50 and 14,673,381 is: 30,390,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084,648.50 : 14,673,381 = 14,673,381 : x
  2. Step 2: Convert to fraction form
    7,084,648.50/14,673,381 = 14,673,381/x
  3. Step 3: Cross multiply
    7,084,648.50x = 14,673,381 × 14,673,381
  4. Step 4: Simplify right side
    7,084,648.50x = 215,308,109,971,161
  5. Step 5: Solve for x
    x = 215,308,109,971,161/7,084,648.50
  6. Step 6: Final answer
    x = 30,390,796.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.