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Finding the Third Proportional to 4,483,653.75 and 7,137,828.84

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Solution

The third proportional to 4,483,653.75 and 7,137,828.84 is: 11,363,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483,653.75 : 7,137,828.84 = 7,137,828.84 : x
  2. Step 2: Convert to fraction form
    4,483,653.75/7,137,828.84 = 7,137,828.84/x
  3. Step 3: Cross multiply
    4,483,653.75x = 7,137,828.84 × 7,137,828.84
  4. Step 4: Simplify right side
    4,483,653.75x = 50,948,600,602,669.46
  5. Step 5: Solve for x
    x = 50,948,600,602,669.46/4,483,653.75
  6. Step 6: Final answer
    x = 11,363,188.03

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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.