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Finding the Third Proportional to 2,941,614.56 and 6,355,894.50

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Solution

The third proportional to 2,941,614.56 and 6,355,894.50 is: 13,733,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941,614.56 : 6,355,894.50 = 6,355,894.50 : x
  2. Step 2: Convert to fraction form
    2,941,614.56/6,355,894.50 = 6,355,894.50/x
  3. Step 3: Cross multiply
    2,941,614.56x = 6,355,894.50 × 6,355,894.50
  4. Step 4: Simplify right side
    2,941,614.56x = 40,397,394,895,130.25
  5. Step 5: Solve for x
    x = 40,397,394,895,130.25/2,941,614.56
  6. Step 6: Final answer
    x = 13,733,068.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.