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Finding the Third Proportional to 29,499,135,705 and 64,882,220,085

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Solution

The third proportional to 29,499,135,705 and 64,882,220,085 is: 142,705,960,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,499,135,705 : 64,882,220,085 = 64,882,220,085 : x
  2. Step 2: Convert to fraction form
    29,499,135,705/64,882,220,085 = 64,882,220,085/x
  3. Step 3: Cross multiply
    29,499,135,705x = 64,882,220,085 × 64,882,220,085
  4. Step 4: Simplify right side
    29,499,135,705x = 4,209,702,483,158,377,168,896
  5. Step 5: Solve for x
    x = 4,209,702,483,158,377,168,896/29,499,135,705
  6. Step 6: Final answer
    x = 142,705,960,108.68

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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.