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Finding the Third Proportional to 309,139,286 and 666,704,764

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Solution

The third proportional to 309,139,286 and 666,704,764 is: 1,437,847,800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,139,286 : 666,704,764 = 666,704,764 : x
  2. Step 2: Convert to fraction form
    309,139,286/666,704,764 = 666,704,764/x
  3. Step 3: Cross multiply
    309,139,286x = 666,704,764 × 666,704,764
  4. Step 4: Simplify right side
    309,139,286x = 444,495,242,340,295,680
  5. Step 5: Solve for x
    x = 444,495,242,340,295,680/309,139,286
  6. Step 6: Final answer
    x = 1,437,847,800.23

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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.