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Finding the Third Proportional to 6,946,519,309,039.50 and 10,509,120,719,962

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Solution

The third proportional to 6,946,519,309,039.50 and 10,509,120,719,962 is: 15,898,842,771,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946,519,309,039.50 : 10,509,120,719,962 = 10,509,120,719,962 : x
  2. Step 2: Convert to fraction form
    6,946,519,309,039.50/10,509,120,719,962 = 10,509,120,719,962/x
  3. Step 3: Cross multiply
    6,946,519,309,039.50x = 10,509,120,719,962 × 10,509,120,719,962
  4. Step 4: Simplify right side
    6,946,519,309,039.50x = 110,441,618,306,734,616,637,079,552
  5. Step 5: Solve for x
    x = 110,441,618,306,734,616,637,079,552/6,946,519,309,039.50
  6. Step 6: Final answer
    x = 15,898,842,771,950.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.