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Finding the Third Proportional to 647,443,314 and 1,424,026,791

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Solution

The third proportional to 647,443,314 and 1,424,026,791 is: 3,132,092,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,443,314 : 1,424,026,791 = 1,424,026,791 : x
  2. Step 2: Convert to fraction form
    647,443,314/1,424,026,791 = 1,424,026,791/x
  3. Step 3: Cross multiply
    647,443,314x = 1,424,026,791 × 1,424,026,791
  4. Step 4: Simplify right side
    647,443,314x = 2,027,852,301,485,757,696
  5. Step 5: Solve for x
    x = 2,027,852,301,485,757,696/647,443,314
  6. Step 6: Final answer
    x = 3,132,092,428.23

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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.