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Finding the Third Proportional to 11,316,211 and 23,155,355

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Solution

The third proportional to 11,316,211 and 23,155,355 is: 47,380,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316,211 : 23,155,355 = 23,155,355 : x
  2. Step 2: Convert to fraction form
    11,316,211/23,155,355 = 23,155,355/x
  3. Step 3: Cross multiply
    11,316,211x = 23,155,355 × 23,155,355
  4. Step 4: Simplify right side
    11,316,211x = 536,170,465,176,025
  5. Step 5: Solve for x
    x = 536,170,465,176,025/11,316,211
  6. Step 6: Final answer
    x = 47,380,741.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.