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Finding the Third Proportional to 1,227,322,633.50 and 2,684,223,405

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Solution

The third proportional to 1,227,322,633.50 and 2,684,223,405 is: 5,870,547,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227,322,633.50 : 2,684,223,405 = 2,684,223,405 : x
  2. Step 2: Convert to fraction form
    1,227,322,633.50/2,684,223,405 = 2,684,223,405/x
  3. Step 3: Cross multiply
    1,227,322,633.50x = 2,684,223,405 × 2,684,223,405
  4. Step 4: Simplify right side
    1,227,322,633.50x = 7,205,055,287,949,794,304
  5. Step 5: Solve for x
    x = 7,205,055,287,949,794,304/1,227,322,633.50
  6. Step 6: Final answer
    x = 5,870,547,068.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.