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Finding the Third Proportional to 7,824,192 and 16,805,307

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Solution

The third proportional to 7,824,192 and 16,805,307 is: 36,095,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824,192 : 16,805,307 = 16,805,307 : x
  2. Step 2: Convert to fraction form
    7,824,192/16,805,307 = 16,805,307/x
  3. Step 3: Cross multiply
    7,824,192x = 16,805,307 × 16,805,307
  4. Step 4: Simplify right side
    7,824,192x = 282,418,343,364,249
  5. Step 5: Solve for x
    x = 282,418,343,364,249/7,824,192
  6. Step 6: Final answer
    x = 36,095,528.25

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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.