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Finding the Third Proportional to 28,452,137,596,040 and 38,388,614,023,616

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Solution

The third proportional to 28,452,137,596,040 and 38,388,614,023,616 is: 51,795,253,754,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,452,137,596,040 : 38,388,614,023,616 = 38,388,614,023,616 : x
  2. Step 2: Convert to fraction form
    28,452,137,596,040/38,388,614,023,616 = 38,388,614,023,616/x
  3. Step 3: Cross multiply
    28,452,137,596,040x = 38,388,614,023,616 × 38,388,614,023,616
  4. Step 4: Simplify right side
    28,452,137,596,040x = 1,473,685,686,654,166,904,237,719,552
  5. Step 5: Solve for x
    x = 1,473,685,686,654,166,904,237,719,552/28,452,137,596,040
  6. Step 6: Final answer
    x = 51,795,253,754,827.76

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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.