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Finding the Third Proportional to 11,539,520,476 and 17,241,351,537

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Solution

The third proportional to 11,539,520,476 and 17,241,351,537 is: 25,760,533,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539,520,476 : 17,241,351,537 = 17,241,351,537 : x
  2. Step 2: Convert to fraction form
    11,539,520,476/17,241,351,537 = 17,241,351,537/x
  3. Step 3: Cross multiply
    11,539,520,476x = 17,241,351,537 × 17,241,351,537
  4. Step 4: Simplify right side
    11,539,520,476x = 297,264,202,822,412,271,616
  5. Step 5: Solve for x
    x = 297,264,202,822,412,271,616/11,539,520,476
  6. Step 6: Final answer
    x = 25,760,533,415.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.