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Finding the Third Proportional to 13,020,189 and 27,834,081

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Solution

The third proportional to 13,020,189 and 27,834,081 is: 59,502,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020,189 : 27,834,081 = 27,834,081 : x
  2. Step 2: Convert to fraction form
    13,020,189/27,834,081 = 27,834,081/x
  3. Step 3: Cross multiply
    13,020,189x = 27,834,081 × 27,834,081
  4. Step 4: Simplify right side
    13,020,189x = 774,736,065,114,561
  5. Step 5: Solve for x
    x = 774,736,065,114,561/13,020,189
  6. Step 6: Final answer
    x = 59,502,674.28

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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.