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Finding the Third Proportional to 1,795,764,468,966 and 3,907,655,903,820

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Solution

The third proportional to 1,795,764,468,966 and 3,907,655,903,820 is: 8,503,216,834,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795,764,468,966 : 3,907,655,903,820 = 3,907,655,903,820 : x
  2. Step 2: Convert to fraction form
    1,795,764,468,966/3,907,655,903,820 = 3,907,655,903,820/x
  3. Step 3: Cross multiply
    1,795,764,468,966x = 3,907,655,903,820 × 3,907,655,903,820
  4. Step 4: Simplify right side
    1,795,764,468,966x = 15,269,774,662,659,300,854,333,440
  5. Step 5: Solve for x
    x = 15,269,774,662,659,300,854,333,440/1,795,764,468,966
  6. Step 6: Final answer
    x = 8,503,216,834,138.40

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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.