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Finding the Third Proportional to 10,290,933 and 14,110,813

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Solution

The third proportional to 10,290,933 and 14,110,813 is: 19,348,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290,933 : 14,110,813 = 14,110,813 : x
  2. Step 2: Convert to fraction form
    10,290,933/14,110,813 = 14,110,813/x
  3. Step 3: Cross multiply
    10,290,933x = 14,110,813 × 14,110,813
  4. Step 4: Simplify right side
    10,290,933x = 199,115,043,520,969
  5. Step 5: Solve for x
    x = 199,115,043,520,969/10,290,933
  6. Step 6: Final answer
    x = 19,348,590.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.