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Finding the Third Proportional to 512,900,776.13 and 1,209,562,552.13

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Solution

The third proportional to 512,900,776.13 and 1,209,562,552.13 is: 2,852,484,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,900,776.13 : 1,209,562,552.13 = 1,209,562,552.13 : x
  2. Step 2: Convert to fraction form
    512,900,776.13/1,209,562,552.13 = 1,209,562,552.13/x
  3. Step 3: Cross multiply
    512,900,776.13x = 1,209,562,552.13 × 1,209,562,552.13
  4. Step 4: Simplify right side
    512,900,776.13x = 1,463,041,567,503,143,424
  5. Step 5: Solve for x
    x = 1,463,041,567,503,143,424/512,900,776.13
  6. Step 6: Final answer
    x = 2,852,484,604.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.