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Finding the Third Proportional to 4,638,913 and 9,596,034

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Solution

The third proportional to 4,638,913 and 9,596,034 is: 19,850,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638,913 : 9,596,034 = 9,596,034 : x
  2. Step 2: Convert to fraction form
    4,638,913/9,596,034 = 9,596,034/x
  3. Step 3: Cross multiply
    4,638,913x = 9,596,034 × 9,596,034
  4. Step 4: Simplify right side
    4,638,913x = 92,083,868,529,156
  5. Step 5: Solve for x
    x = 92,083,868,529,156/4,638,913
  6. Step 6: Final answer
    x = 19,850,311.60

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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.