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Finding the Third Proportional to 10,642,423.50 and 23,345,061.75

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Solution

The third proportional to 10,642,423.50 and 23,345,061.75 is: 51,209,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642,423.50 : 23,345,061.75 = 23,345,061.75 : x
  2. Step 2: Convert to fraction form
    10,642,423.50/23,345,061.75 = 23,345,061.75/x
  3. Step 3: Cross multiply
    10,642,423.50x = 23,345,061.75 × 23,345,061.75
  4. Step 4: Simplify right side
    10,642,423.50x = 544,991,908,111,313.06
  5. Step 5: Solve for x
    x = 544,991,908,111,313.06/10,642,423.50
  6. Step 6: Final answer
    x = 51,209,379.90

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Why These Related Problems?

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