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Finding the Third Proportional to 6,306,585 and 13,834,001

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Solution

The third proportional to 6,306,585 and 13,834,001 is: 30,345,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,585 : 13,834,001 = 13,834,001 : x
  2. Step 2: Convert to fraction form
    6,306,585/13,834,001 = 13,834,001/x
  3. Step 3: Cross multiply
    6,306,585x = 13,834,001 × 13,834,001
  4. Step 4: Simplify right side
    6,306,585x = 191,379,583,668,001
  5. Step 5: Solve for x
    x = 191,379,583,668,001/6,306,585
  6. Step 6: Final answer
    x = 30,345,992.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.