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Finding the Third Proportional to 838,325,775,487.50 and 1,823,535,089,775

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Solution

The third proportional to 838,325,775,487.50 and 1,823,535,089,775 is: 3,966,572,806,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,325,775,487.50 : 1,823,535,089,775 = 1,823,535,089,775 : x
  2. Step 2: Convert to fraction form
    838,325,775,487.50/1,823,535,089,775 = 1,823,535,089,775/x
  3. Step 3: Cross multiply
    838,325,775,487.50x = 1,823,535,089,775 × 1,823,535,089,775
  4. Step 4: Simplify right side
    838,325,775,487.50x = 3,325,280,223,640,717,275,168,768
  5. Step 5: Solve for x
    x = 3,325,280,223,640,717,275,168,768/838,325,775,487.50
  6. Step 6: Final answer
    x = 3,966,572,806,027.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.