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Finding the Third Proportional to 23,105,894 and 50,064,708

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Solution

The third proportional to 23,105,894 and 50,064,708 is: 108,477,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105,894 : 50,064,708 = 50,064,708 : x
  2. Step 2: Convert to fraction form
    23,105,894/50,064,708 = 50,064,708/x
  3. Step 3: Cross multiply
    23,105,894x = 50,064,708 × 50,064,708
  4. Step 4: Simplify right side
    23,105,894x = 2,506,474,987,125,264
  5. Step 5: Solve for x
    x = 2,506,474,987,125,264/23,105,894
  6. Step 6: Final answer
    x = 108,477,732.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.