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Finding the Third Proportional to 34,999,914 and 54,779,531

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Solution

The third proportional to 34,999,914 and 54,779,531 is: 85,737,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,999,914 : 54,779,531 = 54,779,531 : x
  2. Step 2: Convert to fraction form
    34,999,914/54,779,531 = 54,779,531/x
  3. Step 3: Cross multiply
    34,999,914x = 54,779,531 × 54,779,531
  4. Step 4: Simplify right side
    34,999,914x = 3,000,797,016,579,961
  5. Step 5: Solve for x
    x = 3,000,797,016,579,961/34,999,914
  6. Step 6: Final answer
    x = 85,737,268.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.