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Finding the Third Proportional to 47,695,080 and 103,455,816

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Solution

The third proportional to 47,695,080 and 103,455,816 is: 224,406,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,695,080 : 103,455,816 = 103,455,816 : x
  2. Step 2: Convert to fraction form
    47,695,080/103,455,816 = 103,455,816/x
  3. Step 3: Cross multiply
    47,695,080x = 103,455,816 × 103,455,816
  4. Step 4: Simplify right side
    47,695,080x = 10,703,105,864,225,856
  5. Step 5: Solve for x
    x = 10,703,105,864,225,856/47,695,080
  6. Step 6: Final answer
    x = 224,406,917.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.