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Finding the Third Proportional to 389,590,737.19 and 857,098,270.13

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Solution

The third proportional to 389,590,737.19 and 857,098,270.13 is: 1,885,613,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,590,737.19 : 857,098,270.13 = 857,098,270.13 : x
  2. Step 2: Convert to fraction form
    389,590,737.19/857,098,270.13 = 857,098,270.13/x
  3. Step 3: Cross multiply
    389,590,737.19x = 857,098,270.13 × 857,098,270.13
  4. Step 4: Simplify right side
    389,590,737.19x = 734,617,444,651,267,456
  5. Step 5: Solve for x
    x = 734,617,444,651,267,456/389,590,737.19
  6. Step 6: Final answer
    x = 1,885,613,220.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.