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Finding the Third Proportional to 7,511,184 and 16,219,712

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Solution

The third proportional to 7,511,184 and 16,219,712 is: 35,024,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511,184 : 16,219,712 = 16,219,712 : x
  2. Step 2: Convert to fraction form
    7,511,184/16,219,712 = 16,219,712/x
  3. Step 3: Cross multiply
    7,511,184x = 16,219,712 × 16,219,712
  4. Step 4: Simplify right side
    7,511,184x = 263,079,057,362,944
  5. Step 5: Solve for x
    x = 263,079,057,362,944/7,511,184
  6. Step 6: Final answer
    x = 35,024,978.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.