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Finding the Third Proportional to 5,692,498 and 12,395,296

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Solution

The third proportional to 5,692,498 and 12,395,296 is: 26,990,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,498 : 12,395,296 = 12,395,296 : x
  2. Step 2: Convert to fraction form
    5,692,498/12,395,296 = 12,395,296/x
  3. Step 3: Cross multiply
    5,692,498x = 12,395,296 × 12,395,296
  4. Step 4: Simplify right side
    5,692,498x = 153,643,362,927,616
  5. Step 5: Solve for x
    x = 153,643,362,927,616/5,692,498
  6. Step 6: Final answer
    x = 26,990,499.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.