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Finding the Third Proportional to 767,886,062 and 1,236,549,477

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Solution

The third proportional to 767,886,062 and 1,236,549,477 is: 1,991,251,937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,886,062 : 1,236,549,477 = 1,236,549,477 : x
  2. Step 2: Convert to fraction form
    767,886,062/1,236,549,477 = 1,236,549,477/x
  3. Step 3: Cross multiply
    767,886,062x = 1,236,549,477 × 1,236,549,477
  4. Step 4: Simplify right side
    767,886,062x = 1,529,054,609,068,973,568
  5. Step 5: Solve for x
    x = 1,529,054,609,068,973,568/767,886,062
  6. Step 6: Final answer
    x = 1,991,251,937.93

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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.