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Finding the Third Proportional to 9,007,349,698.50 and 18,760,229,458.50

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Solution

The third proportional to 9,007,349,698.50 and 18,760,229,458.50 is: 39,073,225,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007,349,698.50 : 18,760,229,458.50 = 18,760,229,458.50 : x
  2. Step 2: Convert to fraction form
    9,007,349,698.50/18,760,229,458.50 = 18,760,229,458.50/x
  3. Step 3: Cross multiply
    9,007,349,698.50x = 18,760,229,458.50 × 18,760,229,458.50
  4. Step 4: Simplify right side
    9,007,349,698.50x = 351,946,209,335,571,185,664
  5. Step 5: Solve for x
    x = 351,946,209,335,571,185,664/9,007,349,698.50
  6. Step 6: Final answer
    x = 39,073,225,878.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.