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Finding the Third Proportional to 5,838,578 and 9,297,511

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Solution

The third proportional to 5,838,578 and 9,297,511 is: 14,805,610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838,578 : 9,297,511 = 9,297,511 : x
  2. Step 2: Convert to fraction form
    5,838,578/9,297,511 = 9,297,511/x
  3. Step 3: Cross multiply
    5,838,578x = 9,297,511 × 9,297,511
  4. Step 4: Simplify right side
    5,838,578x = 86,443,710,795,121
  5. Step 5: Solve for x
    x = 86,443,710,795,121/5,838,578
  6. Step 6: Final answer
    x = 14,805,610.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.