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Finding the Third Proportional to 13,797,742 and 29,025,468

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Solution

The third proportional to 13,797,742 and 29,025,468 is: 61,059,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797,742 : 29,025,468 = 29,025,468 : x
  2. Step 2: Convert to fraction form
    13,797,742/29,025,468 = 29,025,468/x
  3. Step 3: Cross multiply
    13,797,742x = 29,025,468 × 29,025,468
  4. Step 4: Simplify right side
    13,797,742x = 842,477,792,619,024
  5. Step 5: Solve for x
    x = 842,477,792,619,024/13,797,742
  6. Step 6: Final answer
    x = 61,059,106.09

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