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Finding the Third Proportional to 7,769,580 and 16,918,509

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Solution

The third proportional to 7,769,580 and 16,918,509 is: 36,840,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769,580 : 16,918,509 = 16,918,509 : x
  2. Step 2: Convert to fraction form
    7,769,580/16,918,509 = 16,918,509/x
  3. Step 3: Cross multiply
    7,769,580x = 16,918,509 × 16,918,509
  4. Step 4: Simplify right side
    7,769,580x = 286,235,946,783,081
  5. Step 5: Solve for x
    x = 286,235,946,783,081/7,769,580
  6. Step 6: Final answer
    x = 36,840,594.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.