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Finding the Third Proportional to 215,760,018.94 and 465,995,359.13

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Solution

The third proportional to 215,760,018.94 and 465,995,359.13 is: 1,006,450,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,760,018.94 : 465,995,359.13 = 465,995,359.13 : x
  2. Step 2: Convert to fraction form
    215,760,018.94/465,995,359.13 = 465,995,359.13/x
  3. Step 3: Cross multiply
    215,760,018.94x = 465,995,359.13 × 465,995,359.13
  4. Step 4: Simplify right side
    215,760,018.94x = 217,151,674,726,037,728
  5. Step 5: Solve for x
    x = 217,151,674,726,037,728/215,760,018.94
  6. Step 6: Final answer
    x = 1,006,450,016.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.