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Finding the Third Proportional to 7,461,616 and 16,064,816

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Solution

The third proportional to 7,461,616 and 16,064,816 is: 34,587,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461,616 : 16,064,816 = 16,064,816 : x
  2. Step 2: Convert to fraction form
    7,461,616/16,064,816 = 16,064,816/x
  3. Step 3: Cross multiply
    7,461,616x = 16,064,816 × 16,064,816
  4. Step 4: Simplify right side
    7,461,616x = 258,078,313,113,856
  5. Step 5: Solve for x
    x = 258,078,313,113,856/7,461,616
  6. Step 6: Final answer
    x = 34,587,455.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.