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Finding the Third Proportional to 19,736,974 and 29,605,457

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Solution

The third proportional to 19,736,974 and 29,605,457 is: 44,408,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,736,974 : 29,605,457 = 29,605,457 : x
  2. Step 2: Convert to fraction form
    19,736,974/29,605,457 = 29,605,457/x
  3. Step 3: Cross multiply
    19,736,974x = 29,605,457 × 29,605,457
  4. Step 4: Simplify right side
    19,736,974x = 876,483,084,178,849
  5. Step 5: Solve for x
    x = 876,483,084,178,849/19,736,974
  6. Step 6: Final answer
    x = 44,408,179.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.