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Finding the Third Proportional to 4,785,402.38 and 7,355,493.56

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Solution

The third proportional to 4,785,402.38 and 7,355,493.56 is: 11,305,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785,402.38 : 7,355,493.56 = 7,355,493.56 : x
  2. Step 2: Convert to fraction form
    4,785,402.38/7,355,493.56 = 7,355,493.56/x
  3. Step 3: Cross multiply
    4,785,402.38x = 7,355,493.56 × 7,355,493.56
  4. Step 4: Simplify right side
    4,785,402.38x = 54,103,285,547,978.94
  5. Step 5: Solve for x
    x = 54,103,285,547,978.94/4,785,402.38
  6. Step 6: Final answer
    x = 11,305,901.01

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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.