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Finding the Third Proportional to 5,357,296 and 12,644,260

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Solution

The third proportional to 5,357,296 and 12,644,260 is: 29,842,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357,296 : 12,644,260 = 12,644,260 : x
  2. Step 2: Convert to fraction form
    5,357,296/12,644,260 = 12,644,260/x
  3. Step 3: Cross multiply
    5,357,296x = 12,644,260 × 12,644,260
  4. Step 4: Simplify right side
    5,357,296x = 159,877,310,947,600
  5. Step 5: Solve for x
    x = 159,877,310,947,600/5,357,296
  6. Step 6: Final answer
    x = 29,842,911.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.