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Finding the Third Proportional to 7,824,174 and 16,805,270

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Solution

The third proportional to 7,824,174 and 16,805,270 is: 36,095,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824,174 : 16,805,270 = 16,805,270 : x
  2. Step 2: Convert to fraction form
    7,824,174/16,805,270 = 16,805,270/x
  3. Step 3: Cross multiply
    7,824,174x = 16,805,270 × 16,805,270
  4. Step 4: Simplify right side
    7,824,174x = 282,417,099,772,900
  5. Step 5: Solve for x
    x = 282,417,099,772,900/7,824,174
  6. Step 6: Final answer
    x = 36,095,452.35

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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.