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Finding the Third Proportional to 57,839,904 and 84,543,264

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Solution

The third proportional to 57,839,904 and 84,543,264 is: 123,574,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,839,904 : 84,543,264 = 84,543,264 : x
  2. Step 2: Convert to fraction form
    57,839,904/84,543,264 = 84,543,264/x
  3. Step 3: Cross multiply
    57,839,904x = 84,543,264 × 84,543,264
  4. Step 4: Simplify right side
    57,839,904x = 7,147,563,487,773,696
  5. Step 5: Solve for x
    x = 7,147,563,487,773,696/57,839,904
  6. Step 6: Final answer
    x = 123,574,954.20

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.