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Finding the Third Proportional to 4,887,948 and 6,836,890.50

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Solution

The third proportional to 4,887,948 and 6,836,890.50 is: 9,562,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887,948 : 6,836,890.50 = 6,836,890.50 : x
  2. Step 2: Convert to fraction form
    4,887,948/6,836,890.50 = 6,836,890.50/x
  3. Step 3: Cross multiply
    4,887,948x = 6,836,890.50 × 6,836,890.50
  4. Step 4: Simplify right side
    4,887,948x = 46,743,071,708,990.25
  5. Step 5: Solve for x
    x = 46,743,071,708,990.25/4,887,948
  6. Step 6: Final answer
    x = 9,562,923.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.