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Finding the Third Proportional to 4,698,561.78 and 7,476,409.24

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Solution

The third proportional to 4,698,561.78 and 7,476,409.24 is: 11,896,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698,561.78 : 7,476,409.24 = 7,476,409.24 : x
  2. Step 2: Convert to fraction form
    4,698,561.78/7,476,409.24 = 7,476,409.24/x
  3. Step 3: Cross multiply
    4,698,561.78x = 7,476,409.24 × 7,476,409.24
  4. Step 4: Simplify right side
    4,698,561.78x = 55,896,695,112,856.41
  5. Step 5: Solve for x
    x = 55,896,695,112,856.41/4,698,561.78
  6. Step 6: Final answer
    x = 11,896,554.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.