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Finding the Third Proportional to 392,362,672.50 and 841,058,910

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Solution

The third proportional to 392,362,672.50 and 841,058,910 is: 1,802,873,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,362,672.50 : 841,058,910 = 841,058,910 : x
  2. Step 2: Convert to fraction form
    392,362,672.50/841,058,910 = 841,058,910/x
  3. Step 3: Cross multiply
    392,362,672.50x = 841,058,910 × 841,058,910
  4. Step 4: Simplify right side
    392,362,672.50x = 707,380,090,090,388,096
  5. Step 5: Solve for x
    x = 707,380,090,090,388,096/392,362,672.50
  6. Step 6: Final answer
    x = 1,802,873,055.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.