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Finding the Third Proportional to 29,058,284 and 61,128,146

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Solution

The third proportional to 29,058,284 and 61,128,146 is: 128,591,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,058,284 : 61,128,146 = 61,128,146 : x
  2. Step 2: Convert to fraction form
    29,058,284/61,128,146 = 61,128,146/x
  3. Step 3: Cross multiply
    29,058,284x = 61,128,146 × 61,128,146
  4. Step 4: Simplify right side
    29,058,284x = 3,736,650,233,397,316
  5. Step 5: Solve for x
    x = 3,736,650,233,397,316/29,058,284
  6. Step 6: Final answer
    x = 128,591,565.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.