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Finding the Third Proportional to 6,356,688 and 13,797,006

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Solution

The third proportional to 6,356,688 and 13,797,006 is: 29,945,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356,688 : 13,797,006 = 13,797,006 : x
  2. Step 2: Convert to fraction form
    6,356,688/13,797,006 = 13,797,006/x
  3. Step 3: Cross multiply
    6,356,688x = 13,797,006 × 13,797,006
  4. Step 4: Simplify right side
    6,356,688x = 190,357,374,564,036
  5. Step 5: Solve for x
    x = 190,357,374,564,036/6,356,688
  6. Step 6: Final answer
    x = 29,945,999.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.