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Finding the Third Proportional to 82,642,853 and 180,166,075

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Solution

The third proportional to 82,642,853 and 180,166,075 is: 392,772,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,642,853 : 180,166,075 = 180,166,075 : x
  2. Step 2: Convert to fraction form
    82,642,853/180,166,075 = 180,166,075/x
  3. Step 3: Cross multiply
    82,642,853x = 180,166,075 × 180,166,075
  4. Step 4: Simplify right side
    82,642,853x = 32,459,814,580,905,624
  5. Step 5: Solve for x
    x = 32,459,814,580,905,624/82,642,853
  6. Step 6: Final answer
    x = 392,772,192.67

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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.