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Finding the Third Proportional to 767,886,060 and 1,236,549,474

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Solution

The third proportional to 767,886,060 and 1,236,549,474 is: 1,991,251,933.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,886,060 : 1,236,549,474 = 1,236,549,474 : x
  2. Step 2: Convert to fraction form
    767,886,060/1,236,549,474 = 1,236,549,474/x
  3. Step 3: Cross multiply
    767,886,060x = 1,236,549,474 × 1,236,549,474
  4. Step 4: Simplify right side
    767,886,060x = 1,529,054,601,649,676,800
  5. Step 5: Solve for x
    x = 1,529,054,601,649,676,800/767,886,060
  6. Step 6: Final answer
    x = 1,991,251,933.46

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Why These Related Problems?

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