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Finding the Third Proportional to 11,127,024 and 23,449,590

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Solution

The third proportional to 11,127,024 and 23,449,590 is: 49,418,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,127,024 : 23,449,590 = 23,449,590 : x
  2. Step 2: Convert to fraction form
    11,127,024/23,449,590 = 23,449,590/x
  3. Step 3: Cross multiply
    11,127,024x = 23,449,590 × 23,449,590
  4. Step 4: Simplify right side
    11,127,024x = 549,883,271,168,100
  5. Step 5: Solve for x
    x = 549,883,271,168,100/11,127,024
  6. Step 6: Final answer
    x = 49,418,718.89

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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.