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Finding the Third Proportional to 3,549,859.80 and 7,775,438.54

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Solution

The third proportional to 3,549,859.80 and 7,775,438.54 is: 17,030,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549,859.80 : 7,775,438.54 = 7,775,438.54 : x
  2. Step 2: Convert to fraction form
    3,549,859.80/7,775,438.54 = 7,775,438.54/x
  3. Step 3: Cross multiply
    3,549,859.80x = 7,775,438.54 × 7,775,438.54
  4. Step 4: Simplify right side
    3,549,859.80x = 60,457,444,444,364.41
  5. Step 5: Solve for x
    x = 60,457,444,444,364.41/3,549,859.80
  6. Step 6: Final answer
    x = 17,030,938.62

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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.