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Finding the Third Proportional to 5,475,191.25 and 12,674,714.25

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Solution

The third proportional to 5,475,191.25 and 12,674,714.25 is: 29,341,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475,191.25 : 12,674,714.25 = 12,674,714.25 : x
  2. Step 2: Convert to fraction form
    5,475,191.25/12,674,714.25 = 12,674,714.25/x
  3. Step 3: Cross multiply
    5,475,191.25x = 12,674,714.25 × 12,674,714.25
  4. Step 4: Simplify right side
    5,475,191.25x = 160,648,381,319,153.06
  5. Step 5: Solve for x
    x = 160,648,381,319,153.06/5,475,191.25
  6. Step 6: Final answer
    x = 29,341,145.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.