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Finding the Third Proportional to 47,507,176 and 101,732,816

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Solution

The third proportional to 47,507,176 and 101,732,816 is: 217,852,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,507,176 : 101,732,816 = 101,732,816 : x
  2. Step 2: Convert to fraction form
    47,507,176/101,732,816 = 101,732,816/x
  3. Step 3: Cross multiply
    47,507,176x = 101,732,816 × 101,732,816
  4. Step 4: Simplify right side
    47,507,176x = 10,349,565,851,289,856
  5. Step 5: Solve for x
    x = 10,349,565,851,289,856/47,507,176
  6. Step 6: Final answer
    x = 217,852,685.06

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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.