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Finding the Third Proportional to 524,770,148 and 1,214,875,055

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Solution

The third proportional to 524,770,148 and 1,214,875,055 is: 2,812,510,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,770,148 : 1,214,875,055 = 1,214,875,055 : x
  2. Step 2: Convert to fraction form
    524,770,148/1,214,875,055 = 1,214,875,055/x
  3. Step 3: Cross multiply
    524,770,148x = 1,214,875,055 × 1,214,875,055
  4. Step 4: Simplify right side
    524,770,148x = 1,475,921,399,261,253,120
  5. Step 5: Solve for x
    x = 1,475,921,399,261,253,120/524,770,148
  6. Step 6: Final answer
    x = 2,812,510,210.21

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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.