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Finding the Third Proportional to 195,401,467,012 and 423,249,577,112

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Solution

The third proportional to 195,401,467,012 and 423,249,577,112 is: 916,780,243,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,401,467,012 : 423,249,577,112 = 423,249,577,112 : x
  2. Step 2: Convert to fraction form
    195,401,467,012/423,249,577,112 = 423,249,577,112/x
  3. Step 3: Cross multiply
    195,401,467,012x = 423,249,577,112 × 423,249,577,112
  4. Step 4: Simplify right side
    195,401,467,012x = 179,140,204,525,486,820,294,656
  5. Step 5: Solve for x
    x = 179,140,204,525,486,820,294,656/195,401,467,012
  6. Step 6: Final answer
    x = 916,780,243,591.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.