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Finding the Third Proportional to 4,555,102.50 and 6,984,900

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Solution

The third proportional to 4,555,102.50 and 6,984,900 is: 10,710,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555,102.50 : 6,984,900 = 6,984,900 : x
  2. Step 2: Convert to fraction form
    4,555,102.50/6,984,900 = 6,984,900/x
  3. Step 3: Cross multiply
    4,555,102.50x = 6,984,900 × 6,984,900
  4. Step 4: Simplify right side
    4,555,102.50x = 48,788,828,010,000
  5. Step 5: Solve for x
    x = 48,788,828,010,000/4,555,102.50
  6. Step 6: Final answer
    x = 10,710,807.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.