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Finding the Third Proportional to 8,784,385,914 and 13,382,404,309.50

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Solution

The third proportional to 8,784,385,914 and 13,382,404,309.50 is: 20,387,167,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784,385,914 : 13,382,404,309.50 = 13,382,404,309.50 : x
  2. Step 2: Convert to fraction form
    8,784,385,914/13,382,404,309.50 = 13,382,404,309.50/x
  3. Step 3: Cross multiply
    8,784,385,914x = 13,382,404,309.50 × 13,382,404,309.50
  4. Step 4: Simplify right side
    8,784,385,914x = 179,088,745,102,924,185,600
  5. Step 5: Solve for x
    x = 179,088,745,102,924,185,600/8,784,385,914
  6. Step 6: Final answer
    x = 20,387,167,282.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.