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Finding the Third Proportional to 9,288,926 and 13,660,256

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Solution

The third proportional to 9,288,926 and 13,660,256 is: 20,088,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288,926 : 13,660,256 = 13,660,256 : x
  2. Step 2: Convert to fraction form
    9,288,926/13,660,256 = 13,660,256/x
  3. Step 3: Cross multiply
    9,288,926x = 13,660,256 × 13,660,256
  4. Step 4: Simplify right side
    9,288,926x = 186,602,593,985,536
  5. Step 5: Solve for x
    x = 186,602,593,985,536/9,288,926
  6. Step 6: Final answer
    x = 20,088,715.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.