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Finding the Third Proportional to 533,785,490 and 1,153,905,963

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Solution

The third proportional to 533,785,490 and 1,153,905,963 is: 2,494,445,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,785,490 : 1,153,905,963 = 1,153,905,963 : x
  2. Step 2: Convert to fraction form
    533,785,490/1,153,905,963 = 1,153,905,963/x
  3. Step 3: Cross multiply
    533,785,490x = 1,153,905,963 × 1,153,905,963
  4. Step 4: Simplify right side
    533,785,490x = 1,331,498,971,446,957,312
  5. Step 5: Solve for x
    x = 1,331,498,971,446,957,312/533,785,490
  6. Step 6: Final answer
    x = 2,494,445,795.91

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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.