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Finding the Third Proportional to 524,770,146 and 1,214,875,050.75

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Solution

The third proportional to 524,770,146 and 1,214,875,050.75 is: 2,812,510,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,770,146 : 1,214,875,050.75 = 1,214,875,050.75 : x
  2. Step 2: Convert to fraction form
    524,770,146/1,214,875,050.75 = 1,214,875,050.75/x
  3. Step 3: Cross multiply
    524,770,146x = 1,214,875,050.75 × 1,214,875,050.75
  4. Step 4: Simplify right side
    524,770,146x = 1,475,921,388,934,814,976
  5. Step 5: Solve for x
    x = 1,475,921,388,934,814,976/524,770,146
  6. Step 6: Final answer
    x = 2,812,510,201.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.