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Finding the Third Proportional to 4,604,559.75 and 10,026,013

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Solution

The third proportional to 4,604,559.75 and 10,026,013 is: 21,830,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604,559.75 : 10,026,013 = 10,026,013 : x
  2. Step 2: Convert to fraction form
    4,604,559.75/10,026,013 = 10,026,013/x
  3. Step 3: Cross multiply
    4,604,559.75x = 10,026,013 × 10,026,013
  4. Step 4: Simplify right side
    4,604,559.75x = 100,520,936,676,169
  5. Step 5: Solve for x
    x = 100,520,936,676,169/4,604,559.75
  6. Step 6: Final answer
    x = 21,830,737.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.