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Finding the Third Proportional to 28,452,137,596,052 and 38,388,614,023,638

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Solution

The third proportional to 28,452,137,596,052 and 38,388,614,023,638 is: 51,795,253,754,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,452,137,596,052 : 38,388,614,023,638 = 38,388,614,023,638 : x
  2. Step 2: Convert to fraction form
    28,452,137,596,052/38,388,614,023,638 = 38,388,614,023,638/x
  3. Step 3: Cross multiply
    28,452,137,596,052x = 38,388,614,023,638 × 38,388,614,023,638
  4. Step 4: Simplify right side
    28,452,137,596,052x = 1,473,685,686,655,856,028,975,890,432
  5. Step 5: Solve for x
    x = 1,473,685,686,655,856,028,975,890,432/28,452,137,596,052
  6. Step 6: Final answer
    x = 51,795,253,754,865.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.