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Finding the Third Proportional to 13,708,105 and 30,106,773

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Solution

The third proportional to 13,708,105 and 30,106,773 is: 66,122,763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708,105 : 30,106,773 = 30,106,773 : x
  2. Step 2: Convert to fraction form
    13,708,105/30,106,773 = 30,106,773/x
  3. Step 3: Cross multiply
    13,708,105x = 30,106,773 × 30,106,773
  4. Step 4: Simplify right side
    13,708,105x = 906,417,780,473,529
  5. Step 5: Solve for x
    x = 906,417,780,473,529/13,708,105
  6. Step 6: Final answer
    x = 66,122,763.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.