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Finding the Third Proportional to 10,004,045.75 and 21,524,776

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Solution

The third proportional to 10,004,045.75 and 21,524,776 is: 46,312,861.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004,045.75 : 21,524,776 = 21,524,776 : x
  2. Step 2: Convert to fraction form
    10,004,045.75/21,524,776 = 21,524,776/x
  3. Step 3: Cross multiply
    10,004,045.75x = 21,524,776 × 21,524,776
  4. Step 4: Simplify right side
    10,004,045.75x = 463,315,981,850,176
  5. Step 5: Solve for x
    x = 463,315,981,850,176/10,004,045.75
  6. Step 6: Final answer
    x = 46,312,861.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.