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Finding the Third Proportional to 2,358,963 and 5,159,563.31

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Solution

The third proportional to 2,358,963 and 5,159,563.31 is: 11,285,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,963 : 5,159,563.31 = 5,159,563.31 : x
  2. Step 2: Convert to fraction form
    2,358,963/5,159,563.31 = 5,159,563.31/x
  3. Step 3: Cross multiply
    2,358,963x = 5,159,563.31 × 5,159,563.31
  4. Step 4: Simplify right side
    2,358,963x = 26,621,093,575,695.97
  5. Step 5: Solve for x
    x = 26,621,093,575,695.97/2,358,963
  6. Step 6: Final answer
    x = 11,285,083.14

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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.