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Finding the Third Proportional to 4,658,008 and 10,184,948

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Solution

The third proportional to 4,658,008 and 10,184,948 is: 22,269,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658,008 : 10,184,948 = 10,184,948 : x
  2. Step 2: Convert to fraction form
    4,658,008/10,184,948 = 10,184,948/x
  3. Step 3: Cross multiply
    4,658,008x = 10,184,948 × 10,184,948
  4. Step 4: Simplify right side
    4,658,008x = 103,733,165,762,704
  5. Step 5: Solve for x
    x = 103,733,165,762,704/4,658,008
  6. Step 6: Final answer
    x = 22,269,855.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.