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Finding the Third Proportional to 6,909,380,889 and 14,919,741,478.50

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Solution

The third proportional to 6,909,380,889 and 14,919,741,478.50 is: 32,216,878,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909,380,889 : 14,919,741,478.50 = 14,919,741,478.50 : x
  2. Step 2: Convert to fraction form
    6,909,380,889/14,919,741,478.50 = 14,919,741,478.50/x
  3. Step 3: Cross multiply
    6,909,380,889x = 14,919,741,478.50 × 14,919,741,478.50
  4. Step 4: Simplify right side
    6,909,380,889x = 222,598,685,785,273,368,576
  5. Step 5: Solve for x
    x = 222,598,685,785,273,368,576/6,909,380,889
  6. Step 6: Final answer
    x = 32,216,878,669.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.