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Finding the Third Proportional to 291,420,731.25 and 475,813,450.13

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Solution

The third proportional to 291,420,731.25 and 475,813,450.13 is: 776,878,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,420,731.25 : 475,813,450.13 = 475,813,450.13 : x
  2. Step 2: Convert to fraction form
    291,420,731.25/475,813,450.13 = 475,813,450.13/x
  3. Step 3: Cross multiply
    291,420,731.25x = 475,813,450.13 × 475,813,450.13
  4. Step 4: Simplify right side
    291,420,731.25x = 226,398,439,319,855,872
  5. Step 5: Solve for x
    x = 226,398,439,319,855,872/291,420,731.25
  6. Step 6: Final answer
    x = 776,878,289.85

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.