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Finding the Third Proportional to 77,027,908,182 and 167,730,546,378

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Solution

The third proportional to 77,027,908,182 and 167,730,546,378 is: 365,238,221,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,027,908,182 : 167,730,546,378 = 167,730,546,378 : x
  2. Step 2: Convert to fraction form
    77,027,908,182/167,730,546,378 = 167,730,546,378/x
  3. Step 3: Cross multiply
    77,027,908,182x = 167,730,546,378 × 167,730,546,378
  4. Step 4: Simplify right side
    77,027,908,182x = 28,133,536,188,262,407,733,248
  5. Step 5: Solve for x
    x = 28,133,536,188,262,407,733,248/77,027,908,182
  6. Step 6: Final answer
    x = 365,238,221,474.08

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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.