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Finding the Third Proportional to 77,027,908,176 and 167,730,546,366

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Solution

The third proportional to 77,027,908,176 and 167,730,546,366 is: 365,238,221,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,027,908,176 : 167,730,546,366 = 167,730,546,366 : x
  2. Step 2: Convert to fraction form
    77,027,908,176/167,730,546,366 = 167,730,546,366/x
  3. Step 3: Cross multiply
    77,027,908,176x = 167,730,546,366 × 167,730,546,366
  4. Step 4: Simplify right side
    77,027,908,176x = 28,133,536,184,236,874,137,600
  5. Step 5: Solve for x
    x = 28,133,536,184,236,874,137,600/77,027,908,176
  6. Step 6: Final answer
    x = 365,238,221,450.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.