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Finding the Third Proportional to 6,346,273 and 9,253,567

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Solution

The third proportional to 6,346,273 and 9,253,567 is: 13,492,722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346,273 : 9,253,567 = 9,253,567 : x
  2. Step 2: Convert to fraction form
    6,346,273/9,253,567 = 9,253,567/x
  3. Step 3: Cross multiply
    6,346,273x = 9,253,567 × 9,253,567
  4. Step 4: Simplify right side
    6,346,273x = 85,628,502,223,489
  5. Step 5: Solve for x
    x = 85,628,502,223,489/6,346,273
  6. Step 6: Final answer
    x = 13,492,722.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.