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Finding the Third Proportional to 671,796,273,217.50 and 1,480,526,025,966

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Solution

The third proportional to 671,796,273,217.50 and 1,480,526,025,966 is: 3,262,830,415,930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,796,273,217.50 : 1,480,526,025,966 = 1,480,526,025,966 : x
  2. Step 2: Convert to fraction form
    671,796,273,217.50/1,480,526,025,966 = 1,480,526,025,966/x
  3. Step 3: Cross multiply
    671,796,273,217.50x = 1,480,526,025,966 × 1,480,526,025,966
  4. Step 4: Simplify right side
    671,796,273,217.50x = 2,191,957,313,562,676,905,902,080
  5. Step 5: Solve for x
    x = 2,191,957,313,562,676,905,902,080/671,796,273,217.50
  6. Step 6: Final answer
    x = 3,262,830,415,930.29

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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.