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Finding the Third Proportional to 30,051,870 and 45,083,961

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Solution

The third proportional to 30,051,870 and 45,083,961 is: 67,635,176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,051,870 : 45,083,961 = 45,083,961 : x
  2. Step 2: Convert to fraction form
    30,051,870/45,083,961 = 45,083,961/x
  3. Step 3: Cross multiply
    30,051,870x = 45,083,961 × 45,083,961
  4. Step 4: Simplify right side
    30,051,870x = 2,032,563,539,449,521
  5. Step 5: Solve for x
    x = 2,032,563,539,449,521/30,051,870
  6. Step 6: Final answer
    x = 67,635,176.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.