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Finding the Third Proportional to 7,447,411 and 11,387,724

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Solution

The third proportional to 7,447,411 and 11,387,724 is: 17,412,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447,411 : 11,387,724 = 11,387,724 : x
  2. Step 2: Convert to fraction form
    7,447,411/11,387,724 = 11,387,724/x
  3. Step 3: Cross multiply
    7,447,411x = 11,387,724 × 11,387,724
  4. Step 4: Simplify right side
    7,447,411x = 129,680,257,900,176
  5. Step 5: Solve for x
    x = 129,680,257,900,176/7,447,411
  6. Step 6: Final answer
    x = 17,412,797.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.