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Finding the Third Proportional to 4,638,937 and 9,596,069

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Solution

The third proportional to 4,638,937 and 9,596,069 is: 19,850,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638,937 : 9,596,069 = 9,596,069 : x
  2. Step 2: Convert to fraction form
    4,638,937/9,596,069 = 9,596,069/x
  3. Step 3: Cross multiply
    4,638,937x = 9,596,069 × 9,596,069
  4. Step 4: Simplify right side
    4,638,937x = 92,084,540,252,761
  5. Step 5: Solve for x
    x = 92,084,540,252,761/4,638,937
  6. Step 6: Final answer
    x = 19,850,353.70

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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.