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Finding the Third Proportional to 47,781,703 and 73,784,875

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Solution

The third proportional to 47,781,703 and 73,784,875 is: 113,939,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,781,703 : 73,784,875 = 73,784,875 : x
  2. Step 2: Convert to fraction form
    47,781,703/73,784,875 = 73,784,875/x
  3. Step 3: Cross multiply
    47,781,703x = 73,784,875 × 73,784,875
  4. Step 4: Simplify right side
    47,781,703x = 5,444,207,778,765,625
  5. Step 5: Solve for x
    x = 5,444,207,778,765,625/47,781,703
  6. Step 6: Final answer
    x = 113,939,174.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.