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Finding the Third Proportional to 540,426,016 and 1,095,890,104

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Solution

The third proportional to 540,426,016 and 1,095,890,104 is: 2,222,274,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,426,016 : 1,095,890,104 = 1,095,890,104 : x
  2. Step 2: Convert to fraction form
    540,426,016/1,095,890,104 = 1,095,890,104/x
  3. Step 3: Cross multiply
    540,426,016x = 1,095,890,104 × 1,095,890,104
  4. Step 4: Simplify right side
    540,426,016x = 1,200,975,120,045,130,752
  5. Step 5: Solve for x
    x = 1,200,975,120,045,130,752/540,426,016
  6. Step 6: Final answer
    x = 2,222,274,806.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.