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Finding the Third Proportional to 456,224,010.50 and 936,633,608.50

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Solution

The third proportional to 456,224,010.50 and 936,633,608.50 is: 1,922,920,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,224,010.50 : 936,633,608.50 = 936,633,608.50 : x
  2. Step 2: Convert to fraction form
    456,224,010.50/936,633,608.50 = 936,633,608.50/x
  3. Step 3: Cross multiply
    456,224,010.50x = 936,633,608.50 × 936,633,608.50
  4. Step 4: Simplify right side
    456,224,010.50x = 877,282,516,571,731,328
  5. Step 5: Solve for x
    x = 877,282,516,571,731,328/456,224,010.50
  6. Step 6: Final answer
    x = 1,922,920,531.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.