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Finding the Third Proportional to 10,931,966 and 23,923,278

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Solution

The third proportional to 10,931,966 and 23,923,278 is: 52,353,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931,966 : 23,923,278 = 23,923,278 : x
  2. Step 2: Convert to fraction form
    10,931,966/23,923,278 = 23,923,278/x
  3. Step 3: Cross multiply
    10,931,966x = 23,923,278 × 23,923,278
  4. Step 4: Simplify right side
    10,931,966x = 572,323,230,265,284
  5. Step 5: Solve for x
    x = 572,323,230,265,284/10,931,966
  6. Step 6: Final answer
    x = 52,353,184.25

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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.