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Finding the Third Proportional to 610,237,663.31 and 1,324,505,039.06

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Solution

The third proportional to 610,237,663.31 and 1,324,505,039.06 is: 2,874,803,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,237,663.31 : 1,324,505,039.06 = 1,324,505,039.06 : x
  2. Step 2: Convert to fraction form
    610,237,663.31/1,324,505,039.06 = 1,324,505,039.06/x
  3. Step 3: Cross multiply
    610,237,663.31x = 1,324,505,039.06 × 1,324,505,039.06
  4. Step 4: Simplify right side
    610,237,663.31x = 1,754,313,598,501,954,560
  5. Step 5: Solve for x
    x = 1,754,313,598,501,954,560/610,237,663.31
  6. Step 6: Final answer
    x = 2,874,803,873.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.