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Finding the Third Proportional to 13,020,195 and 27,834,093

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Solution

The third proportional to 13,020,195 and 27,834,093 is: 59,502,698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020,195 : 27,834,093 = 27,834,093 : x
  2. Step 2: Convert to fraction form
    13,020,195/27,834,093 = 27,834,093/x
  3. Step 3: Cross multiply
    13,020,195x = 27,834,093 × 27,834,093
  4. Step 4: Simplify right side
    13,020,195x = 774,736,733,132,649
  5. Step 5: Solve for x
    x = 774,736,733,132,649/13,020,195
  6. Step 6: Final answer
    x = 59,502,698.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.