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Finding the Third Proportional to 7,297,476 and 11,447,518

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Solution

The third proportional to 7,297,476 and 11,447,518 is: 17,957,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297,476 : 11,447,518 = 11,447,518 : x
  2. Step 2: Convert to fraction form
    7,297,476/11,447,518 = 11,447,518/x
  3. Step 3: Cross multiply
    7,297,476x = 11,447,518 × 11,447,518
  4. Step 4: Simplify right side
    7,297,476x = 131,045,668,360,324
  5. Step 5: Solve for x
    x = 131,045,668,360,324/7,297,476
  6. Step 6: Final answer
    x = 17,957,670.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.