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Finding the Third Proportional to 2,221,636,896 and 4,777,622,352

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Solution

The third proportional to 2,221,636,896 and 4,777,622,352 is: 10,274,260,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221,636,896 : 4,777,622,352 = 4,777,622,352 : x
  2. Step 2: Convert to fraction form
    2,221,636,896/4,777,622,352 = 4,777,622,352/x
  3. Step 3: Cross multiply
    2,221,636,896x = 4,777,622,352 × 4,777,622,352
  4. Step 4: Simplify right side
    2,221,636,896x = 22,825,675,338,330,013,696
  5. Step 5: Solve for x
    x = 22,825,675,338,330,013,696/2,221,636,896
  6. Step 6: Final answer
    x = 10,274,260,109.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.