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Finding the Third Proportional to 4,601,347.50 and 10,010,724

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Solution

The third proportional to 4,601,347.50 and 10,010,724 is: 21,779,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601,347.50 : 10,010,724 = 10,010,724 : x
  2. Step 2: Convert to fraction form
    4,601,347.50/10,010,724 = 10,010,724/x
  3. Step 3: Cross multiply
    4,601,347.50x = 10,010,724 × 10,010,724
  4. Step 4: Simplify right side
    4,601,347.50x = 100,214,595,004,176
  5. Step 5: Solve for x
    x = 100,214,595,004,176/4,601,347.50
  6. Step 6: Final answer
    x = 21,779,401.58

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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.