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Finding the Third Proportional to 7,564,120 and 11,353,928

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Solution

The third proportional to 7,564,120 and 11,353,928 is: 17,042,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564,120 : 11,353,928 = 11,353,928 : x
  2. Step 2: Convert to fraction form
    7,564,120/11,353,928 = 11,353,928/x
  3. Step 3: Cross multiply
    7,564,120x = 11,353,928 × 11,353,928
  4. Step 4: Simplify right side
    7,564,120x = 128,911,681,029,184
  5. Step 5: Solve for x
    x = 128,911,681,029,184/7,564,120
  6. Step 6: Final answer
    x = 17,042,521.94

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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.