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Finding the Third Proportional to 9,717,975 and 22,497,706.50

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Solution

The third proportional to 9,717,975 and 22,497,706.50 is: 52,083,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717,975 : 22,497,706.50 = 22,497,706.50 : x
  2. Step 2: Convert to fraction form
    9,717,975/22,497,706.50 = 22,497,706.50/x
  3. Step 3: Cross multiply
    9,717,975x = 22,497,706.50 × 22,497,706.50
  4. Step 4: Simplify right side
    9,717,975x = 506,146,797,760,142.25
  5. Step 5: Solve for x
    x = 506,146,797,760,142.25/9,717,975
  6. Step 6: Final answer
    x = 52,083,566.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.