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Finding the Third Proportional to 6,915,682.50 and 14,896,675.50

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Solution

The third proportional to 6,915,682.50 and 14,896,675.50 is: 32,088,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915,682.50 : 14,896,675.50 = 14,896,675.50 : x
  2. Step 2: Convert to fraction form
    6,915,682.50/14,896,675.50 = 14,896,675.50/x
  3. Step 3: Cross multiply
    6,915,682.50x = 14,896,675.50 × 14,896,675.50
  4. Step 4: Simplify right side
    6,915,682.50x = 221,910,940,952,300.25
  5. Step 5: Solve for x
    x = 221,910,940,952,300.25/6,915,682.50
  6. Step 6: Final answer
    x = 32,088,075.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.