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Finding the Third Proportional to 309,139,317 and 666,704,817

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Solution

The third proportional to 309,139,317 and 666,704,817 is: 1,437,847,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,139,317 : 666,704,817 = 666,704,817 : x
  2. Step 2: Convert to fraction form
    309,139,317/666,704,817 = 666,704,817/x
  3. Step 3: Cross multiply
    309,139,317x = 666,704,817 × 666,704,817
  4. Step 4: Simplify right side
    309,139,317x = 444,495,313,011,003,520
  5. Step 5: Solve for x
    x = 444,495,313,011,003,520/309,139,317
  6. Step 6: Final answer
    x = 1,437,847,884.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.