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Finding the Third Proportional to 10,348,294 and 21,769,064

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Solution

The third proportional to 10,348,294 and 21,769,064 is: 45,794,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348,294 : 21,769,064 = 21,769,064 : x
  2. Step 2: Convert to fraction form
    10,348,294/21,769,064 = 21,769,064/x
  3. Step 3: Cross multiply
    10,348,294x = 21,769,064 × 21,769,064
  4. Step 4: Simplify right side
    10,348,294x = 473,892,147,436,096
  5. Step 5: Solve for x
    x = 473,892,147,436,096/10,348,294
  6. Step 6: Final answer
    x = 45,794,229.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.