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Finding the Third Proportional to 2,915,780.25 and 6,362,178

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Solution

The third proportional to 2,915,780.25 and 6,362,178 is: 13,882,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915,780.25 : 6,362,178 = 6,362,178 : x
  2. Step 2: Convert to fraction form
    2,915,780.25/6,362,178 = 6,362,178/x
  3. Step 3: Cross multiply
    2,915,780.25x = 6,362,178 × 6,362,178
  4. Step 4: Simplify right side
    2,915,780.25x = 40,477,308,903,684
  5. Step 5: Solve for x
    x = 40,477,308,903,684/2,915,780.25
  6. Step 6: Final answer
    x = 13,882,153.47

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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.