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Finding the Third Proportional to 7,824,024 and 16,804,972

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Solution

The third proportional to 7,824,024 and 16,804,972 is: 36,094,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824,024 : 16,804,972 = 16,804,972 : x
  2. Step 2: Convert to fraction form
    7,824,024/16,804,972 = 16,804,972/x
  3. Step 3: Cross multiply
    7,824,024x = 16,804,972 × 16,804,972
  4. Step 4: Simplify right side
    7,824,024x = 282,407,083,920,784
  5. Step 5: Solve for x
    x = 282,407,083,920,784/7,824,024
  6. Step 6: Final answer
    x = 36,094,864.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.