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Finding the Third Proportional to 9,095,416 and 19,567,184

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Solution

The third proportional to 9,095,416 and 19,567,184 is: 42,095,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095,416 : 19,567,184 = 19,567,184 : x
  2. Step 2: Convert to fraction form
    9,095,416/19,567,184 = 19,567,184/x
  3. Step 3: Cross multiply
    9,095,416x = 19,567,184 × 19,567,184
  4. Step 4: Simplify right side
    9,095,416x = 382,874,689,689,856
  5. Step 5: Solve for x
    x = 382,874,689,689,856/9,095,416
  6. Step 6: Final answer
    x = 42,095,346.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.