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Finding the Third Proportional to 5,010,827 and 7,746,521

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Solution

The third proportional to 5,010,827 and 7,746,521 is: 11,975,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010,827 : 7,746,521 = 7,746,521 : x
  2. Step 2: Convert to fraction form
    5,010,827/7,746,521 = 7,746,521/x
  3. Step 3: Cross multiply
    5,010,827x = 7,746,521 × 7,746,521
  4. Step 4: Simplify right side
    5,010,827x = 60,008,587,603,441
  5. Step 5: Solve for x
    x = 60,008,587,603,441/5,010,827
  6. Step 6: Final answer
    x = 11,975,785.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.