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Finding the Third Proportional to 1,125,018,072 and 2,467,870,092

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Solution

The third proportional to 1,125,018,072 and 2,467,870,092 is: 5,413,586,628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,018,072 : 2,467,870,092 = 2,467,870,092 : x
  2. Step 2: Convert to fraction form
    1,125,018,072/2,467,870,092 = 2,467,870,092/x
  3. Step 3: Cross multiply
    1,125,018,072x = 2,467,870,092 × 2,467,870,092
  4. Step 4: Simplify right side
    1,125,018,072x = 6,090,382,790,988,088,320
  5. Step 5: Solve for x
    x = 6,090,382,790,988,088,320/1,125,018,072
  6. Step 6: Final answer
    x = 5,413,586,628.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.