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Finding the Third Proportional to 265,566,741,398 and 407,942,998,167

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Solution

The third proportional to 265,566,741,398 and 407,942,998,167 is: 626,650,343,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,566,741,398 : 407,942,998,167 = 407,942,998,167 : x
  2. Step 2: Convert to fraction form
    265,566,741,398/407,942,998,167 = 407,942,998,167/x
  3. Step 3: Cross multiply
    265,566,741,398x = 407,942,998,167 × 407,942,998,167
  4. Step 4: Simplify right side
    265,566,741,398x = 166,417,489,753,480,963,817,472
  5. Step 5: Solve for x
    x = 166,417,489,753,480,963,817,472/265,566,741,398
  6. Step 6: Final answer
    x = 626,650,343,628.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.