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Finding the Third Proportional to 309,139,716.75 and 666,705,620.25

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Solution

The third proportional to 309,139,716.75 and 666,705,620.25 is: 1,437,849,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,139,716.75 : 666,705,620.25 = 666,705,620.25 : x
  2. Step 2: Convert to fraction form
    309,139,716.75/666,705,620.25 = 666,705,620.25/x
  3. Step 3: Cross multiply
    309,139,716.75x = 666,705,620.25 × 666,705,620.25
  4. Step 4: Simplify right side
    309,139,716.75x = 444,496,384,072,937,216
  5. Step 5: Solve for x
    x = 444,496,384,072,937,216/309,139,716.75
  6. Step 6: Final answer
    x = 1,437,849,490.02

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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.