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Finding the Third Proportional to 8,946,937.69 and 13,769,174.81

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Solution

The third proportional to 8,946,937.69 and 13,769,174.81 is: 21,190,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946,937.69 : 13,769,174.81 = 13,769,174.81 : x
  2. Step 2: Convert to fraction form
    8,946,937.69/13,769,174.81 = 13,769,174.81/x
  3. Step 3: Cross multiply
    8,946,937.69x = 13,769,174.81 × 13,769,174.81
  4. Step 4: Simplify right side
    8,946,937.69x = 189,590,175,017,184.41
  5. Step 5: Solve for x
    x = 189,590,175,017,184.41/8,946,937.69
  6. Step 6: Final answer
    x = 21,190,510.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.