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Finding the Third Proportional to 62,360,047,524 and 128,025,982,832

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Solution

The third proportional to 62,360,047,524 and 128,025,982,832 is: 262,838,995,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,360,047,524 : 128,025,982,832 = 128,025,982,832 : x
  2. Step 2: Convert to fraction form
    62,360,047,524/128,025,982,832 = 128,025,982,832/x
  3. Step 3: Cross multiply
    62,360,047,524x = 128,025,982,832 × 128,025,982,832
  4. Step 4: Simplify right side
    62,360,047,524x = 16,390,652,280,099,559,178,240
  5. Step 5: Solve for x
    x = 16,390,652,280,099,559,178,240/62,360,047,524
  6. Step 6: Final answer
    x = 262,838,995,974.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.