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Finding the Third Proportional to 533,785,487 and 1,153,905,958

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Solution

The third proportional to 533,785,487 and 1,153,905,958 is: 2,494,445,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,785,487 : 1,153,905,958 = 1,153,905,958 : x
  2. Step 2: Convert to fraction form
    533,785,487/1,153,905,958 = 1,153,905,958/x
  3. Step 3: Cross multiply
    533,785,487x = 1,153,905,958 × 1,153,905,958
  4. Step 4: Simplify right side
    533,785,487x = 1,331,498,959,907,897,856
  5. Step 5: Solve for x
    x = 1,331,498,959,907,897,856/533,785,487
  6. Step 6: Final answer
    x = 2,494,445,788.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.