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Finding the Third Proportional to 5,524,152,097.50 and 11,836,254,051

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Solution

The third proportional to 5,524,152,097.50 and 11,836,254,051 is: 25,360,798,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524,152,097.50 : 11,836,254,051 = 11,836,254,051 : x
  2. Step 2: Convert to fraction form
    5,524,152,097.50/11,836,254,051 = 11,836,254,051/x
  3. Step 3: Cross multiply
    5,524,152,097.50x = 11,836,254,051 × 11,836,254,051
  4. Step 4: Simplify right side
    5,524,152,097.50x = 140,096,909,959,813,906,432
  5. Step 5: Solve for x
    x = 140,096,909,959,813,906,432/5,524,152,097.50
  6. Step 6: Final answer
    x = 25,360,798,813.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.