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Finding the Third Proportional to 10,683,620 and 25,194,720

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Solution

The third proportional to 10,683,620 and 25,194,720 is: 59,415,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683,620 : 25,194,720 = 25,194,720 : x
  2. Step 2: Convert to fraction form
    10,683,620/25,194,720 = 25,194,720/x
  3. Step 3: Cross multiply
    10,683,620x = 25,194,720 × 25,194,720
  4. Step 4: Simplify right side
    10,683,620x = 634,773,915,878,400
  5. Step 5: Solve for x
    x = 634,773,915,878,400/10,683,620
  6. Step 6: Final answer
    x = 59,415,620.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.