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Finding the Third Proportional to 10,638,768 and 23,402,976

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Solution

The third proportional to 10,638,768 and 23,402,976 is: 51,481,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638,768 : 23,402,976 = 23,402,976 : x
  2. Step 2: Convert to fraction form
    10,638,768/23,402,976 = 23,402,976/x
  3. Step 3: Cross multiply
    10,638,768x = 23,402,976 × 23,402,976
  4. Step 4: Simplify right side
    10,638,768x = 547,699,285,656,576
  5. Step 5: Solve for x
    x = 547,699,285,656,576/10,638,768
  6. Step 6: Final answer
    x = 51,481,457.78

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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.