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Finding the Third Proportional to 6,318,706.50 and 9,029,157.75

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Solution

The third proportional to 6,318,706.50 and 9,029,157.75 is: 12,902,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318,706.50 : 9,029,157.75 = 9,029,157.75 : x
  2. Step 2: Convert to fraction form
    6,318,706.50/9,029,157.75 = 9,029,157.75/x
  3. Step 3: Cross multiply
    6,318,706.50x = 9,029,157.75 × 9,029,157.75
  4. Step 4: Simplify right side
    6,318,706.50x = 81,525,689,674,385.06
  5. Step 5: Solve for x
    x = 81,525,689,674,385.06/6,318,706.50
  6. Step 6: Final answer
    x = 12,902,275.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.