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Finding the Third Proportional to 4,658,080 and 10,064,104

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Solution

The third proportional to 4,658,080 and 10,064,104 is: 21,744,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658,080 : 10,064,104 = 10,064,104 : x
  2. Step 2: Convert to fraction form
    4,658,080/10,064,104 = 10,064,104/x
  3. Step 3: Cross multiply
    4,658,080x = 10,064,104 × 10,064,104
  4. Step 4: Simplify right side
    4,658,080x = 101,286,189,322,816
  5. Step 5: Solve for x
    x = 101,286,189,322,816/4,658,080
  6. Step 6: Final answer
    x = 21,744,192.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.