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Finding the Third Proportional to 7,276,740 and 14,767,310

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Solution

The third proportional to 7,276,740 and 14,767,310 is: 29,968,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276,740 : 14,767,310 = 14,767,310 : x
  2. Step 2: Convert to fraction form
    7,276,740/14,767,310 = 14,767,310/x
  3. Step 3: Cross multiply
    7,276,740x = 14,767,310 × 14,767,310
  4. Step 4: Simplify right side
    7,276,740x = 218,073,444,636,100
  5. Step 5: Solve for x
    x = 218,073,444,636,100/7,276,740
  6. Step 6: Final answer
    x = 29,968,563.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.