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Finding the Third Proportional to 10,683,912 and 25,195,206

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Solution

The third proportional to 10,683,912 and 25,195,206 is: 59,416,289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683,912 : 25,195,206 = 25,195,206 : x
  2. Step 2: Convert to fraction form
    10,683,912/25,195,206 = 25,195,206/x
  3. Step 3: Cross multiply
    10,683,912x = 25,195,206 × 25,195,206
  4. Step 4: Simplify right side
    10,683,912x = 634,798,405,382,436
  5. Step 5: Solve for x
    x = 634,798,405,382,436/10,683,912
  6. Step 6: Final answer
    x = 59,416,289.22

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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.