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Finding the Third Proportional to 836,549,464.50 and 1,265,583,340.50

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Solution

The third proportional to 836,549,464.50 and 1,265,583,340.50 is: 1,914,652,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,549,464.50 : 1,265,583,340.50 = 1,265,583,340.50 : x
  2. Step 2: Convert to fraction form
    836,549,464.50/1,265,583,340.50 = 1,265,583,340.50/x
  3. Step 3: Cross multiply
    836,549,464.50x = 1,265,583,340.50 × 1,265,583,340.50
  4. Step 4: Simplify right side
    836,549,464.50x = 1,601,701,191,751,138,816
  5. Step 5: Solve for x
    x = 1,601,701,191,751,138,816/836,549,464.50
  6. Step 6: Final answer
    x = 1,914,652,103.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.