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Finding the Third Proportional to 7,564,164 and 11,353,986

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Solution

The third proportional to 7,564,164 and 11,353,986 is: 17,042,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564,164 : 11,353,986 = 11,353,986 : x
  2. Step 2: Convert to fraction form
    7,564,164/11,353,986 = 11,353,986/x
  3. Step 3: Cross multiply
    7,564,164x = 11,353,986 × 11,353,986
  4. Step 4: Simplify right side
    7,564,164x = 128,912,998,088,196
  5. Step 5: Solve for x
    x = 128,912,998,088,196/7,564,164
  6. Step 6: Final answer
    x = 17,042,596.92

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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.