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Finding the Third Proportional to 6,696,247,042 and 11,026,071,123

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Solution

The third proportional to 6,696,247,042 and 11,026,071,123 is: 18,155,579,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696,247,042 : 11,026,071,123 = 11,026,071,123 : x
  2. Step 2: Convert to fraction form
    6,696,247,042/11,026,071,123 = 11,026,071,123/x
  3. Step 3: Cross multiply
    6,696,247,042x = 11,026,071,123 × 11,026,071,123
  4. Step 4: Simplify right side
    6,696,247,042x = 121,574,244,409,454,477,312
  5. Step 5: Solve for x
    x = 121,574,244,409,454,477,312/6,696,247,042
  6. Step 6: Final answer
    x = 18,155,579,333.76

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.