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Finding the Third Proportional to 7,714,688.63 and 10,507,766.06

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Solution

The third proportional to 7,714,688.63 and 10,507,766.06 is: 14,312,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714,688.63 : 10,507,766.06 = 10,507,766.06 : x
  2. Step 2: Convert to fraction form
    7,714,688.63/10,507,766.06 = 10,507,766.06/x
  3. Step 3: Cross multiply
    7,714,688.63x = 10,507,766.06 × 10,507,766.06
  4. Step 4: Simplify right side
    7,714,688.63x = 110,413,147,624,226.75
  5. Step 5: Solve for x
    x = 110,413,147,624,226.75/7,714,688.63
  6. Step 6: Final answer
    x = 14,312,067.93

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