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Finding the Third Proportional to 5,148,283.50 and 6,984,117

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Solution

The third proportional to 5,148,283.50 and 6,984,117 is: 9,474,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148,283.50 : 6,984,117 = 6,984,117 : x
  2. Step 2: Convert to fraction form
    5,148,283.50/6,984,117 = 6,984,117/x
  3. Step 3: Cross multiply
    5,148,283.50x = 6,984,117 × 6,984,117
  4. Step 4: Simplify right side
    5,148,283.50x = 48,777,890,269,689
  5. Step 5: Solve for x
    x = 48,777,890,269,689/5,148,283.50
  6. Step 6: Final answer
    x = 9,474,592.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.