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Finding the Third Proportional to 301,964,278,632 and 468,857,108,628

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Solution

The third proportional to 301,964,278,632 and 468,857,108,628 is: 727,990,043,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,964,278,632 : 468,857,108,628 = 468,857,108,628 : x
  2. Step 2: Convert to fraction form
    301,964,278,632/468,857,108,628 = 468,857,108,628/x
  3. Step 3: Cross multiply
    301,964,278,632x = 468,857,108,628 × 468,857,108,628
  4. Step 4: Simplify right side
    301,964,278,632x = 219,826,988,311,008,184,893,440
  5. Step 5: Solve for x
    x = 219,826,988,311,008,184,893,440/301,964,278,632
  6. Step 6: Final answer
    x = 727,990,043,414.73

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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.