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Finding the Third Proportional to 8,509,140,064 and 13,071,080,976

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Solution

The third proportional to 8,509,140,064 and 13,071,080,976 is: 20,078,780,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509,140,064 : 13,071,080,976 = 13,071,080,976 : x
  2. Step 2: Convert to fraction form
    8,509,140,064/13,071,080,976 = 13,071,080,976/x
  3. Step 3: Cross multiply
    8,509,140,064x = 13,071,080,976 × 13,071,080,976
  4. Step 4: Simplify right side
    8,509,140,064x = 170,853,157,881,149,128,704
  5. Step 5: Solve for x
    x = 170,853,157,881,149,128,704/8,509,140,064
  6. Step 6: Final answer
    x = 20,078,780,769.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.