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Finding the Third Proportional to 6,841,221 and 14,865,246

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Solution

The third proportional to 6,841,221 and 14,865,246 is: 32,300,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841,221 : 14,865,246 = 14,865,246 : x
  2. Step 2: Convert to fraction form
    6,841,221/14,865,246 = 14,865,246/x
  3. Step 3: Cross multiply
    6,841,221x = 14,865,246 × 14,865,246
  4. Step 4: Simplify right side
    6,841,221x = 220,975,538,640,516
  5. Step 5: Solve for x
    x = 220,975,538,640,516/6,841,221
  6. Step 6: Final answer
    x = 32,300,599.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.