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Finding the Third Proportional to 460,320,177 and 985,935,426

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Solution

The third proportional to 460,320,177 and 985,935,426 is: 2,111,722,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,320,177 : 985,935,426 = 985,935,426 : x
  2. Step 2: Convert to fraction form
    460,320,177/985,935,426 = 985,935,426/x
  3. Step 3: Cross multiply
    460,320,177x = 985,935,426 × 985,935,426
  4. Step 4: Simplify right side
    460,320,177x = 972,068,664,241,801,472
  5. Step 5: Solve for x
    x = 972,068,664,241,801,472/460,320,177
  6. Step 6: Final answer
    x = 2,111,722,911.16

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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.