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Finding the Third Proportional to 40,578,579 and 82,574,329

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Solution

The third proportional to 40,578,579 and 82,574,329 is: 168,032,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,578,579 : 82,574,329 = 82,574,329 : x
  2. Step 2: Convert to fraction form
    40,578,579/82,574,329 = 82,574,329/x
  3. Step 3: Cross multiply
    40,578,579x = 82,574,329 × 82,574,329
  4. Step 4: Simplify right side
    40,578,579x = 6,818,519,809,800,241
  5. Step 5: Solve for x
    x = 6,818,519,809,800,241/40,578,579
  6. Step 6: Final answer
    x = 168,032,493.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.