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Finding the Third Proportional to 21,978,810 and 32,309,721

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Solution

The third proportional to 21,978,810 and 32,309,721 is: 47,496,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978,810 : 32,309,721 = 32,309,721 : x
  2. Step 2: Convert to fraction form
    21,978,810/32,309,721 = 32,309,721/x
  3. Step 3: Cross multiply
    21,978,810x = 32,309,721 × 32,309,721
  4. Step 4: Simplify right side
    21,978,810x = 1,043,918,071,097,841
  5. Step 5: Solve for x
    x = 1,043,918,071,097,841/21,978,810
  6. Step 6: Final answer
    x = 47,496,569.25

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.