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Finding the Third Proportional to 508,980,428,194 and 1,107,322,627,490

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Solution

The third proportional to 508,980,428,194 and 1,107,322,627,490 is: 2,409,058,056,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,980,428,194 : 1,107,322,627,490 = 1,107,322,627,490 : x
  2. Step 2: Convert to fraction form
    508,980,428,194/1,107,322,627,490 = 1,107,322,627,490/x
  3. Step 3: Cross multiply
    508,980,428,194x = 1,107,322,627,490 × 1,107,322,627,490
  4. Step 4: Simplify right side
    508,980,428,194x = 1,226,163,401,351,357,418,962,944
  5. Step 5: Solve for x
    x = 1,226,163,401,351,357,418,962,944/508,980,428,194
  6. Step 6: Final answer
    x = 2,409,058,056,912.16

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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.