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Finding the Third Proportional to 6,134,346 and 12,903,283.13

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Solution

The third proportional to 6,134,346 and 12,903,283.13 is: 27,141,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134,346 : 12,903,283.13 = 12,903,283.13 : x
  2. Step 2: Convert to fraction form
    6,134,346/12,903,283.13 = 12,903,283.13/x
  3. Step 3: Cross multiply
    6,134,346x = 12,903,283.13 × 12,903,283.13
  4. Step 4: Simplify right side
    6,134,346x = 166,494,715,403,909.75
  5. Step 5: Solve for x
    x = 166,494,715,403,909.75/6,134,346
  6. Step 6: Final answer
    x = 27,141,396.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.