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Finding the Third Proportional to 66,313,742 and 142,705,183

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Solution

The third proportional to 66,313,742 and 142,705,183 is: 307,097,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,313,742 : 142,705,183 = 142,705,183 : x
  2. Step 2: Convert to fraction form
    66,313,742/142,705,183 = 142,705,183/x
  3. Step 3: Cross multiply
    66,313,742x = 142,705,183 × 142,705,183
  4. Step 4: Simplify right side
    66,313,742x = 20,364,769,255,063,488
  5. Step 5: Solve for x
    x = 20,364,769,255,063,488/66,313,742
  6. Step 6: Final answer
    x = 307,097,271.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.