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Finding the Third Proportional to 2,044,382,772 and 4,446,962,664

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Solution

The third proportional to 2,044,382,772 and 4,446,962,664 is: 9,673,079,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,382,772 : 4,446,962,664 = 4,446,962,664 : x
  2. Step 2: Convert to fraction form
    2,044,382,772/4,446,962,664 = 4,446,962,664/x
  3. Step 3: Cross multiply
    2,044,382,772x = 4,446,962,664 × 4,446,962,664
  4. Step 4: Simplify right side
    2,044,382,772x = 19,775,476,935,009,976,320
  5. Step 5: Solve for x
    x = 19,775,476,935,009,976,320/2,044,382,772
  6. Step 6: Final answer
    x = 9,673,079,428.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.