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Finding the Third Proportional to 767,885,258 and 1,236,548,271

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Solution

The third proportional to 767,885,258 and 1,236,548,271 is: 1,991,250,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,885,258 : 1,236,548,271 = 1,236,548,271 : x
  2. Step 2: Convert to fraction form
    767,885,258/1,236,548,271 = 1,236,548,271/x
  3. Step 3: Cross multiply
    767,885,258x = 1,236,548,271 × 1,236,548,271
  4. Step 4: Simplify right side
    767,885,258x = 1,529,051,626,513,089,536
  5. Step 5: Solve for x
    x = 1,529,051,626,513,089,536/767,885,258
  6. Step 6: Final answer
    x = 1,991,250,138.72

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.