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Finding the Third Proportional to 838,325,775,502 and 1,823,535,089,803

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Solution

The third proportional to 838,325,775,502 and 1,823,535,089,803 is: 3,966,572,806,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,325,775,502 : 1,823,535,089,803 = 1,823,535,089,803 : x
  2. Step 2: Convert to fraction form
    838,325,775,502/1,823,535,089,803 = 1,823,535,089,803/x
  3. Step 3: Cross multiply
    838,325,775,502x = 1,823,535,089,803 × 1,823,535,089,803
  4. Step 4: Simplify right side
    838,325,775,502x = 3,325,280,223,742,835,491,340,288
  5. Step 5: Solve for x
    x = 3,325,280,223,742,835,491,340,288/838,325,775,502
  6. Step 6: Final answer
    x = 3,966,572,806,080.81

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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.