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Finding the Third Proportional to 7,412,699 and 16,242,574

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Solution

The third proportional to 7,412,699 and 16,242,574 is: 35,590,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412,699 : 16,242,574 = 16,242,574 : x
  2. Step 2: Convert to fraction form
    7,412,699/16,242,574 = 16,242,574/x
  3. Step 3: Cross multiply
    7,412,699x = 16,242,574 × 16,242,574
  4. Step 4: Simplify right side
    7,412,699x = 263,821,210,145,476
  5. Step 5: Solve for x
    x = 263,821,210,145,476/7,412,699
  6. Step 6: Final answer
    x = 35,590,438.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.