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Finding the Third Proportional to 10,638,728 and 23,402,896

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Solution

The third proportional to 10,638,728 and 23,402,896 is: 51,481,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638,728 : 23,402,896 = 23,402,896 : x
  2. Step 2: Convert to fraction form
    10,638,728/23,402,896 = 23,402,896/x
  3. Step 3: Cross multiply
    10,638,728x = 23,402,896 × 23,402,896
  4. Step 4: Simplify right side
    10,638,728x = 547,695,541,186,816
  5. Step 5: Solve for x
    x = 547,695,541,186,816/10,638,728
  6. Step 6: Final answer
    x = 51,481,299.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.