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Finding the Third Proportional to 510,412,032 and 1,119,632,832

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Solution

The third proportional to 510,412,032 and 1,119,632,832 is: 2,456,011,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,412,032 : 1,119,632,832 = 1,119,632,832 : x
  2. Step 2: Convert to fraction form
    510,412,032/1,119,632,832 = 1,119,632,832/x
  3. Step 3: Cross multiply
    510,412,032x = 1,119,632,832 × 1,119,632,832
  4. Step 4: Simplify right side
    510,412,032x = 1,253,577,678,492,340,224
  5. Step 5: Solve for x
    x = 1,253,577,678,492,340,224/510,412,032
  6. Step 6: Final answer
    x = 2,456,011,222.11

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Why These Related Problems?

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