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Finding the Third Proportional to 29,499,135,708 and 64,882,220,091

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Solution

The third proportional to 29,499,135,708 and 64,882,220,091 is: 142,705,960,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,499,135,708 : 64,882,220,091 = 64,882,220,091 : x
  2. Step 2: Convert to fraction form
    29,499,135,708/64,882,220,091 = 64,882,220,091/x
  3. Step 3: Cross multiply
    29,499,135,708x = 64,882,220,091 × 64,882,220,091
  4. Step 4: Simplify right side
    29,499,135,708x = 4,209,702,483,936,964,247,552
  5. Step 5: Solve for x
    x = 4,209,702,483,936,964,247,552/29,499,135,708
  6. Step 6: Final answer
    x = 142,705,960,120.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.