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Finding the Third Proportional to 4,658,026.50 and 10,064,007

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Solution

The third proportional to 4,658,026.50 and 10,064,007 is: 21,744,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658,026.50 : 10,064,007 = 10,064,007 : x
  2. Step 2: Convert to fraction form
    4,658,026.50/10,064,007 = 10,064,007/x
  3. Step 3: Cross multiply
    4,658,026.50x = 10,064,007 × 10,064,007
  4. Step 4: Simplify right side
    4,658,026.50x = 101,284,236,896,049
  5. Step 5: Solve for x
    x = 101,284,236,896,049/4,658,026.50
  6. Step 6: Final answer
    x = 21,744,023.33

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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.