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Finding the Third Proportional to 659,968,140 and 1,374,141,048

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Solution

The third proportional to 659,968,140 and 1,374,141,048 is: 2,861,143,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,968,140 : 1,374,141,048 = 1,374,141,048 : x
  2. Step 2: Convert to fraction form
    659,968,140/1,374,141,048 = 1,374,141,048/x
  3. Step 3: Cross multiply
    659,968,140x = 1,374,141,048 × 1,374,141,048
  4. Step 4: Simplify right side
    659,968,140x = 1,888,263,619,798,538,240
  5. Step 5: Solve for x
    x = 1,888,263,619,798,538,240/659,968,140
  6. Step 6: Final answer
    x = 2,861,143,599.75

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.