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Finding the Third Proportional to 2,221,526,832 and 4,626,928,128

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Solution

The third proportional to 2,221,526,832 and 4,626,928,128 is: 9,636,824,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221,526,832 : 4,626,928,128 = 4,626,928,128 : x
  2. Step 2: Convert to fraction form
    2,221,526,832/4,626,928,128 = 4,626,928,128/x
  3. Step 3: Cross multiply
    2,221,526,832x = 4,626,928,128 × 4,626,928,128
  4. Step 4: Simplify right side
    2,221,526,832x = 21,408,463,901,677,584,384
  5. Step 5: Solve for x
    x = 21,408,463,901,677,584,384/2,221,526,832
  6. Step 6: Final answer
    x = 9,636,824,364.80

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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.