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Finding the Third Proportional to 13,835,436 and 22,102,194

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Solution

The third proportional to 13,835,436 and 22,102,194 is: 35,308,390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835,436 : 22,102,194 = 22,102,194 : x
  2. Step 2: Convert to fraction form
    13,835,436/22,102,194 = 22,102,194/x
  3. Step 3: Cross multiply
    13,835,436x = 22,102,194 × 22,102,194
  4. Step 4: Simplify right side
    13,835,436x = 488,506,979,613,636
  5. Step 5: Solve for x
    x = 488,506,979,613,636/13,835,436
  6. Step 6: Final answer
    x = 35,308,390.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.