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Finding the Third Proportional to 53,504,570 and 81,983,968

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Solution

The third proportional to 53,504,570 and 81,983,968 is: 125,622,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,504,570 : 81,983,968 = 81,983,968 : x
  2. Step 2: Convert to fraction form
    53,504,570/81,983,968 = 81,983,968/x
  3. Step 3: Cross multiply
    53,504,570x = 81,983,968 × 81,983,968
  4. Step 4: Simplify right side
    53,504,570x = 6,721,371,009,025,024
  5. Step 5: Solve for x
    x = 6,721,371,009,025,024/53,504,570
  6. Step 6: Final answer
    x = 125,622,372.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.