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Finding the Third Proportional to 4,638,897 and 9,596,002

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Solution

The third proportional to 4,638,897 and 9,596,002 is: 19,850,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638,897 : 9,596,002 = 9,596,002 : x
  2. Step 2: Convert to fraction form
    4,638,897/9,596,002 = 9,596,002/x
  3. Step 3: Cross multiply
    4,638,897x = 9,596,002 × 9,596,002
  4. Step 4: Simplify right side
    4,638,897x = 92,083,254,384,004
  5. Step 5: Solve for x
    x = 92,083,254,384,004/4,638,897
  6. Step 6: Final answer
    x = 19,850,247.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.