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Finding the Third Proportional to 7,714,748.81 and 10,507,851.56

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Solution

The third proportional to 7,714,748.81 and 10,507,851.56 is: 14,312,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714,748.81 : 10,507,851.56 = 10,507,851.56 : x
  2. Step 2: Convert to fraction form
    7,714,748.81/10,507,851.56 = 10,507,851.56/x
  3. Step 3: Cross multiply
    7,714,748.81x = 10,507,851.56 × 10,507,851.56
  4. Step 4: Simplify right side
    7,714,748.81x = 110,414,944,459,533.69
  5. Step 5: Solve for x
    x = 110,414,944,459,533.69/7,714,748.81
  6. Step 6: Final answer
    x = 14,312,189.18

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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.