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Finding the Third Proportional to 10,141,991,028 and 14,014,314,747

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Solution

The third proportional to 10,141,991,028 and 14,014,314,747 is: 19,365,134,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141,991,028 : 14,014,314,747 = 14,014,314,747 : x
  2. Step 2: Convert to fraction form
    10,141,991,028/14,014,314,747 = 14,014,314,747/x
  3. Step 3: Cross multiply
    10,141,991,028x = 14,014,314,747 × 14,014,314,747
  4. Step 4: Simplify right side
    10,141,991,028x = 196,401,017,827,981,688,832
  5. Step 5: Solve for x
    x = 196,401,017,827,981,688,832/10,141,991,028
  6. Step 6: Final answer
    x = 19,365,134,250.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.