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Finding the Third Proportional to 9,352,939,941.50 and 20,352,374,497

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Solution

The third proportional to 9,352,939,941.50 and 20,352,374,497 is: 44,287,587,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352,939,941.50 : 20,352,374,497 = 20,352,374,497 : x
  2. Step 2: Convert to fraction form
    9,352,939,941.50/20,352,374,497 = 20,352,374,497/x
  3. Step 3: Cross multiply
    9,352,939,941.50x = 20,352,374,497 × 20,352,374,497
  4. Step 4: Simplify right side
    9,352,939,941.50x = 414,219,147,666,135,973,888
  5. Step 5: Solve for x
    x = 414,219,147,666,135,973,888/9,352,939,941.50
  6. Step 6: Final answer
    x = 44,287,587,673.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.