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Finding the Third Proportional to 34,999,896 and 54,779,510

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Solution

The third proportional to 34,999,896 and 54,779,510 is: 85,737,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,999,896 : 54,779,510 = 54,779,510 : x
  2. Step 2: Convert to fraction form
    34,999,896/54,779,510 = 54,779,510/x
  3. Step 3: Cross multiply
    34,999,896x = 54,779,510 × 54,779,510
  4. Step 4: Simplify right side
    34,999,896x = 3,000,794,715,840,100
  5. Step 5: Solve for x
    x = 3,000,794,715,840,100/34,999,896
  6. Step 6: Final answer
    x = 85,737,246.64

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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.