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Finding the Third Proportional to 13,442,706 and 29,498,148

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Solution

The third proportional to 13,442,706 and 29,498,148 is: 64,729,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442,706 : 29,498,148 = 29,498,148 : x
  2. Step 2: Convert to fraction form
    13,442,706/29,498,148 = 29,498,148/x
  3. Step 3: Cross multiply
    13,442,706x = 29,498,148 × 29,498,148
  4. Step 4: Simplify right side
    13,442,706x = 870,140,735,429,904
  5. Step 5: Solve for x
    x = 870,140,735,429,904/13,442,706
  6. Step 6: Final answer
    x = 64,729,581.64

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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.