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Finding the Third Proportional to 9,693,934.45 and 21,003,515.16

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Solution

The third proportional to 9,693,934.45 and 21,003,515.16 is: 45,507,595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693,934.45 : 21,003,515.16 = 21,003,515.16 : x
  2. Step 2: Convert to fraction form
    9,693,934.45/21,003,515.16 = 21,003,515.16/x
  3. Step 3: Cross multiply
    9,693,934.45x = 21,003,515.16 × 21,003,515.16
  4. Step 4: Simplify right side
    9,693,934.45x = 441,147,648,918,823.44
  5. Step 5: Solve for x
    x = 441,147,648,918,823.44/9,693,934.45
  6. Step 6: Final answer
    x = 45,507,595.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.