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Finding the Third Proportional to 10,102,232 and 22,160,308

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Solution

The third proportional to 10,102,232 and 22,160,308 is: 48,610,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102,232 : 22,160,308 = 22,160,308 : x
  2. Step 2: Convert to fraction form
    10,102,232/22,160,308 = 22,160,308/x
  3. Step 3: Cross multiply
    10,102,232x = 22,160,308 × 22,160,308
  4. Step 4: Simplify right side
    10,102,232x = 491,079,250,654,864
  5. Step 5: Solve for x
    x = 491,079,250,654,864/10,102,232
  6. Step 6: Final answer
    x = 48,610,965.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.