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Finding the Third Proportional to 7,934,166 and 11,784,609

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Solution

The third proportional to 7,934,166 and 11,784,609 is: 17,503,668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934,166 : 11,784,609 = 11,784,609 : x
  2. Step 2: Convert to fraction form
    7,934,166/11,784,609 = 11,784,609/x
  3. Step 3: Cross multiply
    7,934,166x = 11,784,609 × 11,784,609
  4. Step 4: Simplify right side
    7,934,166x = 138,877,009,282,881
  5. Step 5: Solve for x
    x = 138,877,009,282,881/7,934,166
  6. Step 6: Final answer
    x = 17,503,668.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.