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Finding the Third Proportional to 5,622,696,216 and 8,227,068,498

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Solution

The third proportional to 5,622,696,216 and 8,227,068,498 is: 12,037,757,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622,696,216 : 8,227,068,498 = 8,227,068,498 : x
  2. Step 2: Convert to fraction form
    5,622,696,216/8,227,068,498 = 8,227,068,498/x
  3. Step 3: Cross multiply
    5,622,696,216x = 8,227,068,498 × 8,227,068,498
  4. Step 4: Simplify right side
    5,622,696,216x = 67,684,656,070,783,975,424
  5. Step 5: Solve for x
    x = 67,684,656,070,783,975,424/5,622,696,216
  6. Step 6: Final answer
    x = 12,037,757,949.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.