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Finding the Third Proportional to 7,194,722,898 and 16,043,745,732

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Solution

The third proportional to 7,194,722,898 and 16,043,745,732 is: 35,776,468,498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194,722,898 : 16,043,745,732 = 16,043,745,732 : x
  2. Step 2: Convert to fraction form
    7,194,722,898/16,043,745,732 = 16,043,745,732/x
  3. Step 3: Cross multiply
    7,194,722,898x = 16,043,745,732 × 16,043,745,732
  4. Step 4: Simplify right side
    7,194,722,898x = 257,401,777,113,068,208,128
  5. Step 5: Solve for x
    x = 257,401,777,113,068,208,128/7,194,722,898
  6. Step 6: Final answer
    x = 35,776,468,498.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.