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Finding the Third Proportional to 6,802,193 and 14,931,382

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Solution

The third proportional to 6,802,193 and 14,931,382 is: 32,775,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802,193 : 14,931,382 = 14,931,382 : x
  2. Step 2: Convert to fraction form
    6,802,193/14,931,382 = 14,931,382/x
  3. Step 3: Cross multiply
    6,802,193x = 14,931,382 × 14,931,382
  4. Step 4: Simplify right side
    6,802,193x = 222,946,168,429,924
  5. Step 5: Solve for x
    x = 222,946,168,429,924/6,802,193
  6. Step 6: Final answer
    x = 32,775,631.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.