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Finding the Third Proportional to 7,073,934 and 14,407,998

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Solution

The third proportional to 7,073,934 and 14,407,998 is: 29,345,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073,934 : 14,407,998 = 14,407,998 : x
  2. Step 2: Convert to fraction form
    7,073,934/14,407,998 = 14,407,998/x
  3. Step 3: Cross multiply
    7,073,934x = 14,407,998 × 14,407,998
  4. Step 4: Simplify right side
    7,073,934x = 207,590,406,368,004
  5. Step 5: Solve for x
    x = 207,590,406,368,004/7,073,934
  6. Step 6: Final answer
    x = 29,345,821.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.