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Finding the Third Proportional to 6,711,508,437 and 10,095,283,197

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Solution

The third proportional to 6,711,508,437 and 10,095,283,197 is: 15,185,072,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711,508,437 : 10,095,283,197 = 10,095,283,197 : x
  2. Step 2: Convert to fraction form
    6,711,508,437/10,095,283,197 = 10,095,283,197/x
  3. Step 3: Cross multiply
    6,711,508,437x = 10,095,283,197 × 10,095,283,197
  4. Step 4: Simplify right side
    6,711,508,437x = 101,914,742,827,630,542,848
  5. Step 5: Solve for x
    x = 101,914,742,827,630,542,848/6,711,508,437
  6. Step 6: Final answer
    x = 15,185,072,593.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.