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Finding the Third Proportional to 5,359,106 and 11,409,511

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Solution

The third proportional to 5,359,106 and 11,409,511 is: 24,290,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359,106 : 11,409,511 = 11,409,511 : x
  2. Step 2: Convert to fraction form
    5,359,106/11,409,511 = 11,409,511/x
  3. Step 3: Cross multiply
    5,359,106x = 11,409,511 × 11,409,511
  4. Step 4: Simplify right side
    5,359,106x = 130,176,941,259,121
  5. Step 5: Solve for x
    x = 130,176,941,259,121/5,359,106
  6. Step 6: Final answer
    x = 24,290,794.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.