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Finding the Third Proportional to 29,739,166 and 45,463,511

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Solution

The third proportional to 29,739,166 and 45,463,511 is: 69,501,977.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,739,166 : 45,463,511 = 45,463,511 : x
  2. Step 2: Convert to fraction form
    29,739,166/45,463,511 = 45,463,511/x
  3. Step 3: Cross multiply
    29,739,166x = 45,463,511 × 45,463,511
  4. Step 4: Simplify right side
    29,739,166x = 2,066,930,832,447,121
  5. Step 5: Solve for x
    x = 2,066,930,832,447,121/29,739,166
  6. Step 6: Final answer
    x = 69,501,977.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.