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Finding the Third Proportional to 66,313,784 and 142,705,266

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Solution

The third proportional to 66,313,784 and 142,705,266 is: 307,097,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,313,784 : 142,705,266 = 142,705,266 : x
  2. Step 2: Convert to fraction form
    66,313,784/142,705,266 = 142,705,266/x
  3. Step 3: Cross multiply
    66,313,784x = 142,705,266 × 142,705,266
  4. Step 4: Simplify right side
    66,313,784x = 20,364,792,944,130,756
  5. Step 5: Solve for x
    x = 20,364,792,944,130,756/66,313,784
  6. Step 6: Final answer
    x = 307,097,434.59

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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.