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Finding the Third Proportional to 10,348,081 and 21,768,749

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Solution

The third proportional to 10,348,081 and 21,768,749 is: 45,793,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348,081 : 21,768,749 = 21,768,749 : x
  2. Step 2: Convert to fraction form
    10,348,081/21,768,749 = 21,768,749/x
  3. Step 3: Cross multiply
    10,348,081x = 21,768,749 × 21,768,749
  4. Step 4: Simplify right side
    10,348,081x = 473,878,433,025,001
  5. Step 5: Solve for x
    x = 473,878,433,025,001/10,348,081
  6. Step 6: Final answer
    x = 45,793,846.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.