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Finding the Third Proportional to 6,987,875.06 and 14,314,590.84

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Solution

The third proportional to 6,987,875.06 and 14,314,590.84 is: 29,323,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987,875.06 : 14,314,590.84 = 14,314,590.84 : x
  2. Step 2: Convert to fraction form
    6,987,875.06/14,314,590.84 = 14,314,590.84/x
  3. Step 3: Cross multiply
    6,987,875.06x = 14,314,590.84 × 14,314,590.84
  4. Step 4: Simplify right side
    6,987,875.06x = 204,907,511,023,971.34
  5. Step 5: Solve for x
    x = 204,907,511,023,971.34/6,987,875.06
  6. Step 6: Final answer
    x = 29,323,293.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.