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Finding the Third Proportional to 29,461,839 and 69,449,748

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Solution

The third proportional to 29,461,839 and 69,449,748 is: 163,712,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461,839 : 69,449,748 = 69,449,748 : x
  2. Step 2: Convert to fraction form
    29,461,839/69,449,748 = 69,449,748/x
  3. Step 3: Cross multiply
    29,461,839x = 69,449,748 × 69,449,748
  4. Step 4: Simplify right side
    29,461,839x = 4,823,267,497,263,504
  5. Step 5: Solve for x
    x = 4,823,267,497,263,504/29,461,839
  6. Step 6: Final answer
    x = 163,712,370.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.