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Finding the Third Proportional to 2,829,385,881 and 6,088,753,458

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Solution

The third proportional to 2,829,385,881 and 6,088,753,458 is: 13,102,814,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,385,881 : 6,088,753,458 = 6,088,753,458 : x
  2. Step 2: Convert to fraction form
    2,829,385,881/6,088,753,458 = 6,088,753,458/x
  3. Step 3: Cross multiply
    2,829,385,881x = 6,088,753,458 × 6,088,753,458
  4. Step 4: Simplify right side
    2,829,385,881x = 37,072,918,672,306,954,240
  5. Step 5: Solve for x
    x = 37,072,918,672,306,954,240/2,829,385,881
  6. Step 6: Final answer
    x = 13,102,814,614.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.