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Finding the Third Proportional to 29,954,600 and 64,682,316

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Solution

The third proportional to 29,954,600 and 64,682,316 is: 139,671,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,954,600 : 64,682,316 = 64,682,316 : x
  2. Step 2: Convert to fraction form
    29,954,600/64,682,316 = 64,682,316/x
  3. Step 3: Cross multiply
    29,954,600x = 64,682,316 × 64,682,316
  4. Step 4: Simplify right side
    29,954,600x = 4,183,802,003,123,856
  5. Step 5: Solve for x
    x = 4,183,802,003,123,856/29,954,600
  6. Step 6: Final answer
    x = 139,671,436.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.