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Finding the Third Proportional to 21,018,648 and 31,678,317

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Solution

The third proportional to 21,018,648 and 31,678,317 is: 47,744,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,018,648 : 31,678,317 = 31,678,317 : x
  2. Step 2: Convert to fraction form
    21,018,648/31,678,317 = 31,678,317/x
  3. Step 3: Cross multiply
    21,018,648x = 31,678,317 × 31,678,317
  4. Step 4: Simplify right side
    21,018,648x = 1,003,515,767,952,489
  5. Step 5: Solve for x
    x = 1,003,515,767,952,489/21,018,648
  6. Step 6: Final answer
    x = 47,744,068.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.