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Finding the Third Proportional to 7,565,096 and 11,349,264

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Solution

The third proportional to 7,565,096 and 11,349,264 is: 17,026,326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565,096 : 11,349,264 = 11,349,264 : x
  2. Step 2: Convert to fraction form
    7,565,096/11,349,264 = 11,349,264/x
  3. Step 3: Cross multiply
    7,565,096x = 11,349,264 × 11,349,264
  4. Step 4: Simplify right side
    7,565,096x = 128,805,793,341,696
  5. Step 5: Solve for x
    x = 128,805,793,341,696/7,565,096
  6. Step 6: Final answer
    x = 17,026,326.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.