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Finding the Third Proportional to 7,663,407 and 11,527,278

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Solution

The third proportional to 7,663,407 and 11,527,278 is: 17,339,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663,407 : 11,527,278 = 11,527,278 : x
  2. Step 2: Convert to fraction form
    7,663,407/11,527,278 = 11,527,278/x
  3. Step 3: Cross multiply
    7,663,407x = 11,527,278 × 11,527,278
  4. Step 4: Simplify right side
    7,663,407x = 132,878,138,089,284
  5. Step 5: Solve for x
    x = 132,878,138,089,284/7,663,407
  6. Step 6: Final answer
    x = 17,339,303.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.