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Finding the Third Proportional to 47,469,654 and 97,455,816

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Solution

The third proportional to 47,469,654 and 97,455,816 is: 200,078,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,469,654 : 97,455,816 = 97,455,816 : x
  2. Step 2: Convert to fraction form
    47,469,654/97,455,816 = 97,455,816/x
  3. Step 3: Cross multiply
    47,469,654x = 97,455,816 × 97,455,816
  4. Step 4: Simplify right side
    47,469,654x = 9,497,636,072,225,856
  5. Step 5: Solve for x
    x = 9,497,636,072,225,856/47,469,654
  6. Step 6: Final answer
    x = 200,078,055.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.