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Finding the Third Proportional to 5,409,701 and 11,423,014

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Solution

The third proportional to 5,409,701 and 11,423,014 is: 24,120,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409,701 : 11,423,014 = 11,423,014 : x
  2. Step 2: Convert to fraction form
    5,409,701/11,423,014 = 11,423,014/x
  3. Step 3: Cross multiply
    5,409,701x = 11,423,014 × 11,423,014
  4. Step 4: Simplify right side
    5,409,701x = 130,485,248,844,196
  5. Step 5: Solve for x
    x = 130,485,248,844,196/5,409,701
  6. Step 6: Final answer
    x = 24,120,602.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.