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Finding the Third Proportional to 3,478,893.36 and 7,051,280.98

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Solution

The third proportional to 3,478,893.36 and 7,051,280.98 is: 14,292,063.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478,893.36 : 7,051,280.98 = 7,051,280.98 : x
  2. Step 2: Convert to fraction form
    3,478,893.36/7,051,280.98 = 7,051,280.98/x
  3. Step 3: Cross multiply
    3,478,893.36x = 7,051,280.98 × 7,051,280.98
  4. Step 4: Simplify right side
    3,478,893.36x = 49,720,563,410,432.20
  5. Step 5: Solve for x
    x = 49,720,563,410,432.20/3,478,893.36
  6. Step 6: Final answer
    x = 14,292,063.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.