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Finding the Third Proportional to 66,477,668 and 102,117,835

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Solution

The third proportional to 66,477,668 and 102,117,835 is: 156,865,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,477,668 : 102,117,835 = 102,117,835 : x
  2. Step 2: Convert to fraction form
    66,477,668/102,117,835 = 102,117,835/x
  3. Step 3: Cross multiply
    66,477,668x = 102,117,835 × 102,117,835
  4. Step 4: Simplify right side
    66,477,668x = 10,428,052,225,087,224
  5. Step 5: Solve for x
    x = 10,428,052,225,087,224/66,477,668
  6. Step 6: Final answer
    x = 156,865,493.91

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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.