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Finding the Third Proportional to 13,621,095 and 29,633,661

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Solution

The third proportional to 13,621,095 and 29,633,661 is: 64,470,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,621,095 : 29,633,661 = 29,633,661 : x
  2. Step 2: Convert to fraction form
    13,621,095/29,633,661 = 29,633,661/x
  3. Step 3: Cross multiply
    13,621,095x = 29,633,661 × 29,633,661
  4. Step 4: Simplify right side
    13,621,095x = 878,153,864,262,921
  5. Step 5: Solve for x
    x = 878,153,864,262,921/13,621,095
  6. Step 6: Final answer
    x = 64,470,137.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.