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Finding the Third Proportional to 10,931,963 and 23,923,270

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Solution

The third proportional to 10,931,963 and 23,923,270 is: 52,353,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931,963 : 23,923,270 = 23,923,270 : x
  2. Step 2: Convert to fraction form
    10,931,963/23,923,270 = 23,923,270/x
  3. Step 3: Cross multiply
    10,931,963x = 23,923,270 × 23,923,270
  4. Step 4: Simplify right side
    10,931,963x = 572,322,847,492,900
  5. Step 5: Solve for x
    x = 572,322,847,492,900/10,931,963
  6. Step 6: Final answer
    x = 52,353,163.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.