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Finding the Third Proportional to 4,714,907.06 and 7,207,682.06

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Solution

The third proportional to 4,714,907.06 and 7,207,682.06 is: 11,018,389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714,907.06 : 7,207,682.06 = 7,207,682.06 : x
  2. Step 2: Convert to fraction form
    4,714,907.06/7,207,682.06 = 7,207,682.06/x
  3. Step 3: Cross multiply
    4,714,907.06x = 7,207,682.06 × 7,207,682.06
  4. Step 4: Simplify right side
    4,714,907.06x = 51,950,680,714,084.25
  5. Step 5: Solve for x
    x = 51,950,680,714,084.25/4,714,907.06
  6. Step 6: Final answer
    x = 11,018,389.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.