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Finding the Third Proportional to 66,477,666 and 102,117,832

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Solution

The third proportional to 66,477,666 and 102,117,832 is: 156,865,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,477,666 : 102,117,832 = 102,117,832 : x
  2. Step 2: Convert to fraction form
    66,477,666/102,117,832 = 102,117,832/x
  3. Step 3: Cross multiply
    66,477,666x = 102,117,832 × 102,117,832
  4. Step 4: Simplify right side
    66,477,666x = 10,428,051,612,380,224
  5. Step 5: Solve for x
    x = 10,428,051,612,380,224/66,477,666
  6. Step 6: Final answer
    x = 156,865,489.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.