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Finding the Third Proportional to 946,048,952 and 2,022,840,968

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Solution

The third proportional to 946,048,952 and 2,022,840,968 is: 4,325,236,630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,048,952 : 2,022,840,968 = 2,022,840,968 : x
  2. Step 2: Convert to fraction form
    946,048,952/2,022,840,968 = 2,022,840,968/x
  3. Step 3: Cross multiply
    946,048,952x = 2,022,840,968 × 2,022,840,968
  4. Step 4: Simplify right side
    946,048,952x = 4,091,885,581,819,176,960
  5. Step 5: Solve for x
    x = 4,091,885,581,819,176,960/946,048,952
  6. Step 6: Final answer
    x = 4,325,236,630.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.