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Finding the Third Proportional to 9,850,331,992 and 21,670,710,944

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Solution

The third proportional to 9,850,331,992 and 21,670,710,944 is: 47,675,521,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850,331,992 : 21,670,710,944 = 21,670,710,944 : x
  2. Step 2: Convert to fraction form
    9,850,331,992/21,670,710,944 = 21,670,710,944/x
  3. Step 3: Cross multiply
    9,850,331,992x = 21,670,710,944 × 21,670,710,944
  4. Step 4: Simplify right side
    9,850,331,992x = 469,619,712,818,401,378,304
  5. Step 5: Solve for x
    x = 469,619,712,818,401,378,304/9,850,331,992
  6. Step 6: Final answer
    x = 47,675,521,312.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.