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Finding the Third Proportional to 29,616,078 and 64,904,604

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Solution

The third proportional to 29,616,078 and 64,904,604 is: 142,240,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,616,078 : 64,904,604 = 64,904,604 : x
  2. Step 2: Convert to fraction form
    29,616,078/64,904,604 = 64,904,604/x
  3. Step 3: Cross multiply
    29,616,078x = 64,904,604 × 64,904,604
  4. Step 4: Simplify right side
    29,616,078x = 4,212,607,620,396,816
  5. Step 5: Solve for x
    x = 4,212,607,620,396,816/29,616,078
  6. Step 6: Final answer
    x = 142,240,563.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.