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Finding the Third Proportional to 46,026,676 and 99,226,660

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Solution

The third proportional to 46,026,676 and 99,226,660 is: 213,917,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,026,676 : 99,226,660 = 99,226,660 : x
  2. Step 2: Convert to fraction form
    46,026,676/99,226,660 = 99,226,660/x
  3. Step 3: Cross multiply
    46,026,676x = 99,226,660 × 99,226,660
  4. Step 4: Simplify right side
    46,026,676x = 9,845,930,054,755,600
  5. Step 5: Solve for x
    x = 9,845,930,054,755,600/46,026,676
  6. Step 6: Final answer
    x = 213,917,903.93

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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.