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Finding the Third Proportional to 7,790,926,540.50 and 15,798,644,768.25

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Solution

The third proportional to 7,790,926,540.50 and 15,798,644,768.25 is: 32,036,905,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790,926,540.50 : 15,798,644,768.25 = 15,798,644,768.25 : x
  2. Step 2: Convert to fraction form
    7,790,926,540.50/15,798,644,768.25 = 15,798,644,768.25/x
  3. Step 3: Cross multiply
    7,790,926,540.50x = 15,798,644,768.25 × 15,798,644,768.25
  4. Step 4: Simplify right side
    7,790,926,540.50x = 249,597,176,513,353,089,024
  5. Step 5: Solve for x
    x = 249,597,176,513,353,089,024/7,790,926,540.50
  6. Step 6: Final answer
    x = 32,036,905,394.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.