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Finding the Third Proportional to 77,307,611 and 165,681,579

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Solution

The third proportional to 77,307,611 and 165,681,579 is: 355,079,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,307,611 : 165,681,579 = 165,681,579 : x
  2. Step 2: Convert to fraction form
    77,307,611/165,681,579 = 165,681,579/x
  3. Step 3: Cross multiply
    77,307,611x = 165,681,579 × 165,681,579
  4. Step 4: Simplify right side
    77,307,611x = 27,450,385,619,933,240
  5. Step 5: Solve for x
    x = 27,450,385,619,933,240/77,307,611
  6. Step 6: Final answer
    x = 355,079,988.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.