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Finding the Third Proportional to 35,865,569 and 74,283,151

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Solution

The third proportional to 35,865,569 and 74,283,151 is: 153,851,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,865,569 : 74,283,151 = 74,283,151 : x
  2. Step 2: Convert to fraction form
    35,865,569/74,283,151 = 74,283,151/x
  3. Step 3: Cross multiply
    35,865,569x = 74,283,151 × 74,283,151
  4. Step 4: Simplify right side
    35,865,569x = 5,517,986,522,488,801
  5. Step 5: Solve for x
    x = 5,517,986,522,488,801/35,865,569
  6. Step 6: Final answer
    x = 153,851,916.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.