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Finding the Third Proportional to 9,575,982 and 21,277,701

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Solution

The third proportional to 9,575,982 and 21,277,701 is: 47,278,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575,982 : 21,277,701 = 21,277,701 : x
  2. Step 2: Convert to fraction form
    9,575,982/21,277,701 = 21,277,701/x
  3. Step 3: Cross multiply
    9,575,982x = 21,277,701 × 21,277,701
  4. Step 4: Simplify right side
    9,575,982x = 452,740,559,845,401
  5. Step 5: Solve for x
    x = 452,740,559,845,401/9,575,982
  6. Step 6: Final answer
    x = 47,278,760.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.