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Finding the Third Proportional to 5,506,635 and 11,810,409

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Solution

The third proportional to 5,506,635 and 11,810,409 is: 25,330,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506,635 : 11,810,409 = 11,810,409 : x
  2. Step 2: Convert to fraction form
    5,506,635/11,810,409 = 11,810,409/x
  3. Step 3: Cross multiply
    5,506,635x = 11,810,409 × 11,810,409
  4. Step 4: Simplify right side
    5,506,635x = 139,485,760,747,281
  5. Step 5: Solve for x
    x = 139,485,760,747,281/5,506,635
  6. Step 6: Final answer
    x = 25,330,489.63

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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.