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Finding the Third Proportional to 47,174,937 and 100,908,009

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Solution

The third proportional to 47,174,937 and 100,908,009 is: 215,843,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,174,937 : 100,908,009 = 100,908,009 : x
  2. Step 2: Convert to fraction form
    47,174,937/100,908,009 = 100,908,009/x
  3. Step 3: Cross multiply
    47,174,937x = 100,908,009 × 100,908,009
  4. Step 4: Simplify right side
    47,174,937x = 10,182,426,280,344,080
  5. Step 5: Solve for x
    x = 10,182,426,280,344,080/47,174,937
  6. Step 6: Final answer
    x = 215,843,982.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.