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Finding the Third Proportional to 35,949,973 and 78,625,754

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Solution

The third proportional to 35,949,973 and 78,625,754 is: 171,961,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,949,973 : 78,625,754 = 78,625,754 : x
  2. Step 2: Convert to fraction form
    35,949,973/78,625,754 = 78,625,754/x
  3. Step 3: Cross multiply
    35,949,973x = 78,625,754 × 78,625,754
  4. Step 4: Simplify right side
    35,949,973x = 6,182,009,192,068,516
  5. Step 5: Solve for x
    x = 6,182,009,192,068,516/35,949,973
  6. Step 6: Final answer
    x = 171,961,441.86

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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.