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Finding the Third Proportional to 47,125,569 and 73,227,459

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Solution

The third proportional to 47,125,569 and 73,227,459 is: 113,786,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,125,569 : 73,227,459 = 73,227,459 : x
  2. Step 2: Convert to fraction form
    47,125,569/73,227,459 = 73,227,459/x
  3. Step 3: Cross multiply
    47,125,569x = 73,227,459 × 73,227,459
  4. Step 4: Simplify right side
    47,125,569x = 5,362,260,751,596,681
  5. Step 5: Solve for x
    x = 5,362,260,751,596,681/47,125,569
  6. Step 6: Final answer
    x = 113,786,652.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.