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Finding the Third Proportional to 9,341,600 and 14,079,216

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Solution

The third proportional to 9,341,600 and 14,079,216 is: 21,219,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341,600 : 14,079,216 = 14,079,216 : x
  2. Step 2: Convert to fraction form
    9,341,600/14,079,216 = 14,079,216/x
  3. Step 3: Cross multiply
    9,341,600x = 14,079,216 × 14,079,216
  4. Step 4: Simplify right side
    9,341,600x = 198,224,323,174,656
  5. Step 5: Solve for x
    x = 198,224,323,174,656/9,341,600
  6. Step 6: Final answer
    x = 21,219,525.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.