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Finding the Third Proportional to 12,774,693 and 28,022,571

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Solution

The third proportional to 12,774,693 and 28,022,571 is: 61,470,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774,693 : 28,022,571 = 28,022,571 : x
  2. Step 2: Convert to fraction form
    12,774,693/28,022,571 = 28,022,571/x
  3. Step 3: Cross multiply
    12,774,693x = 28,022,571 × 28,022,571
  4. Step 4: Simplify right side
    12,774,693x = 785,264,485,450,041
  5. Step 5: Solve for x
    x = 785,264,485,450,041/12,774,693
  6. Step 6: Final answer
    x = 61,470,321.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.