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Finding the Third Proportional to 71,831,312,428.50 and 101,025,935,037

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Solution

The third proportional to 71,831,312,428.50 and 101,025,935,037 is: 142,086,218,461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,831,312,428.50 : 101,025,935,037 = 101,025,935,037 : x
  2. Step 2: Convert to fraction form
    71,831,312,428.50/101,025,935,037 = 101,025,935,037/x
  3. Step 3: Cross multiply
    71,831,312,428.50x = 101,025,935,037 × 101,025,935,037
  4. Step 4: Simplify right side
    71,831,312,428.50x = 10,206,239,550,100,144,652,288
  5. Step 5: Solve for x
    x = 10,206,239,550,100,144,652,288/71,831,312,428.50
  6. Step 6: Final answer
    x = 142,086,218,461.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.