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Finding the Third Proportional to 4,378,895.25 and 6,973,075.50

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Solution

The third proportional to 4,378,895.25 and 6,973,075.50 is: 11,104,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378,895.25 : 6,973,075.50 = 6,973,075.50 : x
  2. Step 2: Convert to fraction form
    4,378,895.25/6,973,075.50 = 6,973,075.50/x
  3. Step 3: Cross multiply
    4,378,895.25x = 6,973,075.50 × 6,973,075.50
  4. Step 4: Simplify right side
    4,378,895.25x = 48,623,781,928,700.25
  5. Step 5: Solve for x
    x = 48,623,781,928,700.25/4,378,895.25
  6. Step 6: Final answer
    x = 11,104,120.82

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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.