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Finding the Third Proportional to 183,144,861,576 and 276,458,490,540

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Solution

The third proportional to 183,144,861,576 and 276,458,490,540 is: 417,316,087,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,144,861,576 : 276,458,490,540 = 276,458,490,540 : x
  2. Step 2: Convert to fraction form
    183,144,861,576/276,458,490,540 = 276,458,490,540/x
  3. Step 3: Cross multiply
    183,144,861,576x = 276,458,490,540 × 276,458,490,540
  4. Step 4: Simplify right side
    183,144,861,576x = 76,429,296,991,655,275,003,904
  5. Step 5: Solve for x
    x = 76,429,296,991,655,275,003,904/183,144,861,576
  6. Step 6: Final answer
    x = 417,316,087,025.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.