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Finding the Third Proportional to 10,232,709 and 22,168,314

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Solution

The third proportional to 10,232,709 and 22,168,314 is: 48,025,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232,709 : 22,168,314 = 22,168,314 : x
  2. Step 2: Convert to fraction form
    10,232,709/22,168,314 = 22,168,314/x
  3. Step 3: Cross multiply
    10,232,709x = 22,168,314 × 22,168,314
  4. Step 4: Simplify right side
    10,232,709x = 491,434,145,602,596
  5. Step 5: Solve for x
    x = 491,434,145,602,596/10,232,709
  6. Step 6: Final answer
    x = 48,025,810.72

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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.