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Finding the Third Proportional to 10,174,302 and 21,822,642

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Solution

The third proportional to 10,174,302 and 21,822,642 is: 46,806,916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174,302 : 21,822,642 = 21,822,642 : x
  2. Step 2: Convert to fraction form
    10,174,302/21,822,642 = 21,822,642/x
  3. Step 3: Cross multiply
    10,174,302x = 21,822,642 × 21,822,642
  4. Step 4: Simplify right side
    10,174,302x = 476,227,703,860,164
  5. Step 5: Solve for x
    x = 476,227,703,860,164/10,174,302
  6. Step 6: Final answer
    x = 46,806,916.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.