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Finding the Third Proportional to 6,134,347 and 12,903,283

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Solution

The third proportional to 6,134,347 and 12,903,283 is: 27,141,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134,347 : 12,903,283 = 12,903,283 : x
  2. Step 2: Convert to fraction form
    6,134,347/12,903,283 = 12,903,283/x
  3. Step 3: Cross multiply
    6,134,347x = 12,903,283 × 12,903,283
  4. Step 4: Simplify right side
    6,134,347x = 166,494,712,178,089
  5. Step 5: Solve for x
    x = 166,494,712,178,089/6,134,347
  6. Step 6: Final answer
    x = 27,141,391.28

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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.