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Finding the Third Proportional to 659,968,132 and 1,374,141,032

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Solution

The third proportional to 659,968,132 and 1,374,141,032 is: 2,861,143,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,968,132 : 1,374,141,032 = 1,374,141,032 : x
  2. Step 2: Convert to fraction form
    659,968,132/1,374,141,032 = 1,374,141,032/x
  3. Step 3: Cross multiply
    659,968,132x = 1,374,141,032 × 1,374,141,032
  4. Step 4: Simplify right side
    659,968,132x = 1,888,263,575,826,024,960
  5. Step 5: Solve for x
    x = 1,888,263,575,826,024,960/659,968,132
  6. Step 6: Final answer
    x = 2,861,143,567.80

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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.