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Finding the Third Proportional to 6,696,247,059 and 11,026,071,148.50

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Solution

The third proportional to 6,696,247,059 and 11,026,071,148.50 is: 18,155,579,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696,247,059 : 11,026,071,148.50 = 11,026,071,148.50 : x
  2. Step 2: Convert to fraction form
    6,696,247,059/11,026,071,148.50 = 11,026,071,148.50/x
  3. Step 3: Cross multiply
    6,696,247,059x = 11,026,071,148.50 × 11,026,071,148.50
  4. Step 4: Simplify right side
    6,696,247,059x = 121,574,244,971,784,110,080
  5. Step 5: Solve for x
    x = 121,574,244,971,784,110,080/6,696,247,059
  6. Step 6: Final answer
    x = 18,155,579,371.64

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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.