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Finding the Third Proportional to 21,018,584 and 31,678,212

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Solution

The third proportional to 21,018,584 and 31,678,212 is: 47,743,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,018,584 : 31,678,212 = 31,678,212 : x
  2. Step 2: Convert to fraction form
    21,018,584/31,678,212 = 31,678,212/x
  3. Step 3: Cross multiply
    21,018,584x = 31,678,212 × 31,678,212
  4. Step 4: Simplify right side
    21,018,584x = 1,003,509,115,516,944
  5. Step 5: Solve for x
    x = 1,003,509,115,516,944/21,018,584
  6. Step 6: Final answer
    x = 47,743,897.28

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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.