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Finding the Third Proportional to 7,714,690.50 and 10,507,770

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Solution

The third proportional to 7,714,690.50 and 10,507,770 is: 14,312,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714,690.50 : 10,507,770 = 10,507,770 : x
  2. Step 2: Convert to fraction form
    7,714,690.50/10,507,770 = 10,507,770/x
  3. Step 3: Cross multiply
    7,714,690.50x = 10,507,770 × 10,507,770
  4. Step 4: Simplify right side
    7,714,690.50x = 110,413,230,372,900
  5. Step 5: Solve for x
    x = 110,413,230,372,900/7,714,690.50
  6. Step 6: Final answer
    x = 14,312,075.17

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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.