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Finding the Third Proportional to 7,809,798 and 16,819,743

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Solution

The third proportional to 7,809,798 and 16,819,743 is: 36,224,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809,798 : 16,819,743 = 16,819,743 : x
  2. Step 2: Convert to fraction form
    7,809,798/16,819,743 = 16,819,743/x
  3. Step 3: Cross multiply
    7,809,798x = 16,819,743 × 16,819,743
  4. Step 4: Simplify right side
    7,809,798x = 282,903,754,586,049
  5. Step 5: Solve for x
    x = 282,903,754,586,049/7,809,798
  6. Step 6: Final answer
    x = 36,224,208.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.