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Finding the Third Proportional to 343,949,721,976.70 and 748,286,748,890.45

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Solution

The third proportional to 343,949,721,976.70 and 748,286,748,890.45 is: 1,627,950,315,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,949,721,976.70 : 748,286,748,890.45 = 748,286,748,890.45 : x
  2. Step 2: Convert to fraction form
    343,949,721,976.70/748,286,748,890.45 = 748,286,748,890.45/x
  3. Step 3: Cross multiply
    343,949,721,976.70x = 748,286,748,890.45 × 748,286,748,890.45
  4. Step 4: Simplify right side
    343,949,721,976.70x = 559,933,058,565,039,324,135,424
  5. Step 5: Solve for x
    x = 559,933,058,565,039,324,135,424/343,949,721,976.70
  6. Step 6: Final answer
    x = 1,627,950,315,956.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.