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Finding the Third Proportional to 7,714,695.50 and 10,507,775

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Solution

The third proportional to 7,714,695.50 and 10,507,775 is: 14,312,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714,695.50 : 10,507,775 = 10,507,775 : x
  2. Step 2: Convert to fraction form
    7,714,695.50/10,507,775 = 10,507,775/x
  3. Step 3: Cross multiply
    7,714,695.50x = 10,507,775 × 10,507,775
  4. Step 4: Simplify right side
    7,714,695.50x = 110,413,335,450,625
  5. Step 5: Solve for x
    x = 110,413,335,450,625/7,714,695.50
  6. Step 6: Final answer
    x = 14,312,079.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.