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Finding the Third Proportional to 5,941,346 and 12,684,484

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Solution

The third proportional to 5,941,346 and 12,684,484 is: 27,080,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941,346 : 12,684,484 = 12,684,484 : x
  2. Step 2: Convert to fraction form
    5,941,346/12,684,484 = 12,684,484/x
  3. Step 3: Cross multiply
    5,941,346x = 12,684,484 × 12,684,484
  4. Step 4: Simplify right side
    5,941,346x = 160,896,134,346,256
  5. Step 5: Solve for x
    x = 160,896,134,346,256/5,941,346
  6. Step 6: Final answer
    x = 27,080,754.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.