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Finding the Third Proportional to 10,232,711 and 22,168,321

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Solution

The third proportional to 10,232,711 and 22,168,321 is: 48,025,831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232,711 : 22,168,321 = 22,168,321 : x
  2. Step 2: Convert to fraction form
    10,232,711/22,168,321 = 22,168,321/x
  3. Step 3: Cross multiply
    10,232,711x = 22,168,321 × 22,168,321
  4. Step 4: Simplify right side
    10,232,711x = 491,434,455,959,041
  5. Step 5: Solve for x
    x = 491,434,455,959,041/10,232,711
  6. Step 6: Final answer
    x = 48,025,831.66

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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.