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Finding the Third Proportional to 54,509,094 and 83,784,368

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Solution

The third proportional to 54,509,094 and 83,784,368 is: 128,782,553.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,509,094 : 83,784,368 = 83,784,368 : x
  2. Step 2: Convert to fraction form
    54,509,094/83,784,368 = 83,784,368/x
  3. Step 3: Cross multiply
    54,509,094x = 83,784,368 × 83,784,368
  4. Step 4: Simplify right side
    54,509,094x = 7,019,820,321,159,424
  5. Step 5: Solve for x
    x = 7,019,820,321,159,424/54,509,094
  6. Step 6: Final answer
    x = 128,782,553.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.