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Finding the Third Proportional to 26,498,742 and 56,774,892

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Solution

The third proportional to 26,498,742 and 56,774,892 is: 121,643,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,498,742 : 56,774,892 = 56,774,892 : x
  2. Step 2: Convert to fraction form
    26,498,742/56,774,892 = 56,774,892/x
  3. Step 3: Cross multiply
    26,498,742x = 56,774,892 × 56,774,892
  4. Step 4: Simplify right side
    26,498,742x = 3,223,388,361,611,664
  5. Step 5: Solve for x
    x = 3,223,388,361,611,664/26,498,742
  6. Step 6: Final answer
    x = 121,643,071.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.