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Finding the Third Proportional to 49,457,564 and 75,655,011

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Solution

The third proportional to 49,457,564 and 75,655,011 is: 115,729,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,457,564 : 75,655,011 = 75,655,011 : x
  2. Step 2: Convert to fraction form
    49,457,564/75,655,011 = 75,655,011/x
  3. Step 3: Cross multiply
    49,457,564x = 75,655,011 × 75,655,011
  4. Step 4: Simplify right side
    49,457,564x = 5,723,680,689,410,121
  5. Step 5: Solve for x
    x = 5,723,680,689,410,121/49,457,564
  6. Step 6: Final answer
    x = 115,729,126.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.