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Finding the Third Proportional to 550,957,608 and 842,460,270

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Solution

The third proportional to 550,957,608 and 842,460,270 is: 1,288,192,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,957,608 : 842,460,270 = 842,460,270 : x
  2. Step 2: Convert to fraction form
    550,957,608/842,460,270 = 842,460,270/x
  3. Step 3: Cross multiply
    550,957,608x = 842,460,270 × 842,460,270
  4. Step 4: Simplify right side
    550,957,608x = 709,739,306,528,472,960
  5. Step 5: Solve for x
    x = 709,739,306,528,472,960/550,957,608
  6. Step 6: Final answer
    x = 1,288,192,224.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.