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Finding the Third Proportional to 13,921,974 and 29,900,457

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Solution

The third proportional to 13,921,974 and 29,900,457 is: 64,217,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921,974 : 29,900,457 = 29,900,457 : x
  2. Step 2: Convert to fraction form
    13,921,974/29,900,457 = 29,900,457/x
  3. Step 3: Cross multiply
    13,921,974x = 29,900,457 × 29,900,457
  4. Step 4: Simplify right side
    13,921,974x = 894,037,328,808,849
  5. Step 5: Solve for x
    x = 894,037,328,808,849/13,921,974
  6. Step 6: Final answer
    x = 64,217,712.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.