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Finding the Third Proportional to 2,328,547.50 and 5,089,938.75

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Solution

The third proportional to 2,328,547.50 and 5,089,938.75 is: 11,126,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328,547.50 : 5,089,938.75 = 5,089,938.75 : x
  2. Step 2: Convert to fraction form
    2,328,547.50/5,089,938.75 = 5,089,938.75/x
  3. Step 3: Cross multiply
    2,328,547.50x = 5,089,938.75 × 5,089,938.75
  4. Step 4: Simplify right side
    2,328,547.50x = 25,907,476,478,751.56
  5. Step 5: Solve for x
    x = 25,907,476,478,751.56/2,328,547.50
  6. Step 6: Final answer
    x = 11,126,024.48

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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.