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Finding the Third Proportional to 66,834,074 and 106,346,154

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Solution

The third proportional to 66,834,074 and 106,346,154 is: 169,217,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,834,074 : 106,346,154 = 106,346,154 : x
  2. Step 2: Convert to fraction form
    66,834,074/106,346,154 = 106,346,154/x
  3. Step 3: Cross multiply
    66,834,074x = 106,346,154 × 106,346,154
  4. Step 4: Simplify right side
    66,834,074x = 11,309,504,470,591,716
  5. Step 5: Solve for x
    x = 11,309,504,470,591,716/66,834,074
  6. Step 6: Final answer
    x = 169,217,642.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.