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Finding the Third Proportional to 29,499,135,686.58 and 64,882,220,049.84

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Solution

The third proportional to 29,499,135,686.58 and 64,882,220,049.84 is: 142,705,960,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,499,135,686.58 : 64,882,220,049.84 = 64,882,220,049.84 : x
  2. Step 2: Convert to fraction form
    29,499,135,686.58/64,882,220,049.84 = 64,882,220,049.84/x
  3. Step 3: Cross multiply
    29,499,135,686.58x = 64,882,220,049.84 × 64,882,220,049.84
  4. Step 4: Simplify right side
    29,499,135,686.58x = 4,209,702,478,595,859,415,040
  5. Step 5: Solve for x
    x = 4,209,702,478,595,859,415,040/29,499,135,686.58
  6. Step 6: Final answer
    x = 142,705,960,043.14

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