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Finding the Third Proportional to 1,795,764,468,960 and 3,907,655,903,808

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Solution

The third proportional to 1,795,764,468,960 and 3,907,655,903,808 is: 8,503,216,834,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795,764,468,960 : 3,907,655,903,808 = 3,907,655,903,808 : x
  2. Step 2: Convert to fraction form
    1,795,764,468,960/3,907,655,903,808 = 3,907,655,903,808/x
  3. Step 3: Cross multiply
    1,795,764,468,960x = 3,907,655,903,808 × 3,907,655,903,808
  4. Step 4: Simplify right side
    1,795,764,468,960x = 15,269,774,662,565,518,095,941,632
  5. Step 5: Solve for x
    x = 15,269,774,662,565,518,095,941,632/1,795,764,468,960
  6. Step 6: Final answer
    x = 8,503,216,834,114.59

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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.