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Finding the Third Proportional to 29,961,410 and 45,256,985

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Solution

The third proportional to 29,961,410 and 45,256,985 is: 68,361,091.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,961,410 : 45,256,985 = 45,256,985 : x
  2. Step 2: Convert to fraction form
    29,961,410/45,256,985 = 45,256,985/x
  3. Step 3: Cross multiply
    29,961,410x = 45,256,985 × 45,256,985
  4. Step 4: Simplify right side
    29,961,410x = 2,048,194,691,290,225
  5. Step 5: Solve for x
    x = 2,048,194,691,290,225/29,961,410
  6. Step 6: Final answer
    x = 68,361,091.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.