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Finding the Third Proportional to 533,785,464 and 1,153,905,912

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Solution

The third proportional to 533,785,464 and 1,153,905,912 is: 2,494,445,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,785,464 : 1,153,905,912 = 1,153,905,912 : x
  2. Step 2: Convert to fraction form
    533,785,464/1,153,905,912 = 1,153,905,912/x
  3. Step 3: Cross multiply
    533,785,464x = 1,153,905,912 × 1,153,905,912
  4. Step 4: Simplify right side
    533,785,464x = 1,331,498,853,748,551,680
  5. Step 5: Solve for x
    x = 1,331,498,853,748,551,680/533,785,464
  6. Step 6: Final answer
    x = 2,494,445,696.91

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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.