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Finding the Third Proportional to 460,320,096 and 985,935,264

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Solution

The third proportional to 460,320,096 and 985,935,264 is: 2,111,722,588.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,320,096 : 985,935,264 = 985,935,264 : x
  2. Step 2: Convert to fraction form
    460,320,096/985,935,264 = 985,935,264/x
  3. Step 3: Cross multiply
    460,320,096x = 985,935,264 × 985,935,264
  4. Step 4: Simplify right side
    460,320,096x = 972,068,344,798,749,696
  5. Step 5: Solve for x
    x = 972,068,344,798,749,696/460,320,096
  6. Step 6: Final answer
    x = 2,111,722,588.79

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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.