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Finding the Third Proportional to 9,745,367,896 and 14,441,074,928

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Solution

The third proportional to 9,745,367,896 and 14,441,074,928 is: 21,399,360,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745,367,896 : 14,441,074,928 = 14,441,074,928 : x
  2. Step 2: Convert to fraction form
    9,745,367,896/14,441,074,928 = 14,441,074,928/x
  3. Step 3: Cross multiply
    9,745,367,896x = 14,441,074,928 × 14,441,074,928
  4. Step 4: Simplify right side
    9,745,367,896x = 208,544,645,076,110,213,120
  5. Step 5: Solve for x
    x = 208,544,645,076,110,213,120/9,745,367,896
  6. Step 6: Final answer
    x = 21,399,360,937.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.