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Finding the Third Proportional to 4,660,821 and 9,969,264

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Solution

The third proportional to 4,660,821 and 9,969,264 is: 21,323,759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660,821 : 9,969,264 = 9,969,264 : x
  2. Step 2: Convert to fraction form
    4,660,821/9,969,264 = 9,969,264/x
  3. Step 3: Cross multiply
    4,660,821x = 9,969,264 × 9,969,264
  4. Step 4: Simplify right side
    4,660,821x = 99,386,224,701,696
  5. Step 5: Solve for x
    x = 99,386,224,701,696/4,660,821
  6. Step 6: Final answer
    x = 21,323,759.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.