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Finding the Third Proportional to 12,265,191,978.75 and 26,623,656,861.75

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Solution

The third proportional to 12,265,191,978.75 and 26,623,656,861.75 is: 57,791,113,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265,191,978.75 : 26,623,656,861.75 = 26,623,656,861.75 : x
  2. Step 2: Convert to fraction form
    12,265,191,978.75/26,623,656,861.75 = 26,623,656,861.75/x
  3. Step 3: Cross multiply
    12,265,191,978.75x = 26,623,656,861.75 × 26,623,656,861.75
  4. Step 4: Simplify right side
    12,265,191,978.75x = 708,819,104,692,207,878,144
  5. Step 5: Solve for x
    x = 708,819,104,692,207,878,144/12,265,191,978.75
  6. Step 6: Final answer
    x = 57,791,113,740.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.