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Finding the Third Proportional to 4,827,749 and 10,052,335

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Solution

The third proportional to 4,827,749 and 10,052,335 is: 20,930,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827,749 : 10,052,335 = 10,052,335 : x
  2. Step 2: Convert to fraction form
    4,827,749/10,052,335 = 10,052,335/x
  3. Step 3: Cross multiply
    4,827,749x = 10,052,335 × 10,052,335
  4. Step 4: Simplify right side
    4,827,749x = 101,049,438,952,225
  5. Step 5: Solve for x
    x = 101,049,438,952,225/4,827,749
  6. Step 6: Final answer
    x = 20,930,963.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.