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Finding the Third Proportional to 8,402,142 and 17,999,844

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Solution

The third proportional to 8,402,142 and 17,999,844 is: 38,560,926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402,142 : 17,999,844 = 17,999,844 : x
  2. Step 2: Convert to fraction form
    8,402,142/17,999,844 = 17,999,844/x
  3. Step 3: Cross multiply
    8,402,142x = 17,999,844 × 17,999,844
  4. Step 4: Simplify right side
    8,402,142x = 323,994,384,024,336
  5. Step 5: Solve for x
    x = 323,994,384,024,336/8,402,142
  6. Step 6: Final answer
    x = 38,560,926.97

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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.