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Finding the Third Proportional to 2,112,497 and 4,561,746.50

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Solution

The third proportional to 2,112,497 and 4,561,746.50 is: 9,850,679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112,497 : 4,561,746.50 = 4,561,746.50 : x
  2. Step 2: Convert to fraction form
    2,112,497/4,561,746.50 = 4,561,746.50/x
  3. Step 3: Cross multiply
    2,112,497x = 4,561,746.50 × 4,561,746.50
  4. Step 4: Simplify right side
    2,112,497x = 20,809,531,130,262.25
  5. Step 5: Solve for x
    x = 20,809,531,130,262.25/2,112,497
  6. Step 6: Final answer
    x = 9,850,679.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.