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Finding the Third Proportional to 10,093,744 and 22,141,501.50

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Solution

The third proportional to 10,093,744 and 22,141,501.50 is: 48,569,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093,744 : 22,141,501.50 = 22,141,501.50 : x
  2. Step 2: Convert to fraction form
    10,093,744/22,141,501.50 = 22,141,501.50/x
  3. Step 3: Cross multiply
    10,093,744x = 22,141,501.50 × 22,141,501.50
  4. Step 4: Simplify right side
    10,093,744x = 490,246,088,674,502.25
  5. Step 5: Solve for x
    x = 490,246,088,674,502.25/10,093,744
  6. Step 6: Final answer
    x = 48,569,300.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.