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Finding the Third Proportional to 3,989,767.50 and 6,318,670.50

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Solution

The third proportional to 3,989,767.50 and 6,318,670.50 is: 10,006,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989,767.50 : 6,318,670.50 = 6,318,670.50 : x
  2. Step 2: Convert to fraction form
    3,989,767.50/6,318,670.50 = 6,318,670.50/x
  3. Step 3: Cross multiply
    3,989,767.50x = 6,318,670.50 × 6,318,670.50
  4. Step 4: Simplify right side
    3,989,767.50x = 39,925,596,887,570.25
  5. Step 5: Solve for x
    x = 39,925,596,887,570.25/3,989,767.50
  6. Step 6: Final answer
    x = 10,006,998.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.