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Finding the Third Proportional to 367,347,456,224 and 570,361,946,460

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Solution

The third proportional to 367,347,456,224 and 570,361,946,460 is: 885,572,349,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,347,456,224 : 570,361,946,460 = 570,361,946,460 : x
  2. Step 2: Convert to fraction form
    367,347,456,224/570,361,946,460 = 570,361,946,460/x
  3. Step 3: Cross multiply
    367,347,456,224x = 570,361,946,460 × 570,361,946,460
  4. Step 4: Simplify right side
    367,347,456,224x = 325,312,749,969,639,873,708,032
  5. Step 5: Solve for x
    x = 325,312,749,969,639,873,708,032/367,347,456,224
  6. Step 6: Final answer
    x = 885,572,349,713.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.