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Finding the Third Proportional to 10,757,776 and 23,307,584

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Solution

The third proportional to 10,757,776 and 23,307,584 is: 50,497,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757,776 : 23,307,584 = 23,307,584 : x
  2. Step 2: Convert to fraction form
    10,757,776/23,307,584 = 23,307,584/x
  3. Step 3: Cross multiply
    10,757,776x = 23,307,584 × 23,307,584
  4. Step 4: Simplify right side
    10,757,776x = 543,243,471,917,056
  5. Step 5: Solve for x
    x = 543,243,471,917,056/10,757,776
  6. Step 6: Final answer
    x = 50,497,748.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.