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Finding the Third Proportional to 6,438,225.94 and 13,994,688.94

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Solution

The third proportional to 6,438,225.94 and 13,994,688.94 is: 30,420,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438,225.94 : 13,994,688.94 = 13,994,688.94 : x
  2. Step 2: Convert to fraction form
    6,438,225.94/13,994,688.94 = 13,994,688.94/x
  3. Step 3: Cross multiply
    6,438,225.94x = 13,994,688.94 × 13,994,688.94
  4. Step 4: Simplify right side
    6,438,225.94x = 195,851,318,457,384.88
  5. Step 5: Solve for x
    x = 195,851,318,457,384.88/6,438,225.94
  6. Step 6: Final answer
    x = 30,420,075.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.