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Finding the Third Proportional to 7,269,024 and 11,254,047

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Solution

The third proportional to 7,269,024 and 11,254,047 is: 17,423,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269,024 : 11,254,047 = 11,254,047 : x
  2. Step 2: Convert to fraction form
    7,269,024/11,254,047 = 11,254,047/x
  3. Step 3: Cross multiply
    7,269,024x = 11,254,047 × 11,254,047
  4. Step 4: Simplify right side
    7,269,024x = 126,653,573,878,209
  5. Step 5: Solve for x
    x = 126,653,573,878,209/7,269,024
  6. Step 6: Final answer
    x = 17,423,738.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.