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Finding the Third Proportional to 508,980,428,190 and 1,107,322,627,482

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Solution

The third proportional to 508,980,428,190 and 1,107,322,627,482 is: 2,409,058,056,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,980,428,190 : 1,107,322,627,482 = 1,107,322,627,482 : x
  2. Step 2: Convert to fraction form
    508,980,428,190/1,107,322,627,482 = 1,107,322,627,482/x
  3. Step 3: Cross multiply
    508,980,428,190x = 1,107,322,627,482 × 1,107,322,627,482
  4. Step 4: Simplify right side
    508,980,428,190x = 1,226,163,401,333,640,141,996,032
  5. Step 5: Solve for x
    x = 1,226,163,401,333,640,141,996,032/508,980,428,190
  6. Step 6: Final answer
    x = 2,409,058,056,896.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.