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Finding the Third Proportional to 6,696,247,038 and 11,026,071,117

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Solution

The third proportional to 6,696,247,038 and 11,026,071,117 is: 18,155,579,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696,247,038 : 11,026,071,117 = 11,026,071,117 : x
  2. Step 2: Convert to fraction form
    6,696,247,038/11,026,071,117 = 11,026,071,117/x
  3. Step 3: Cross multiply
    6,696,247,038x = 11,026,071,117 × 11,026,071,117
  4. Step 4: Simplify right side
    6,696,247,038x = 121,574,244,277,141,635,072
  5. Step 5: Solve for x
    x = 121,574,244,277,141,635,072/6,696,247,038
  6. Step 6: Final answer
    x = 18,155,579,324.84

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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.