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Finding the Third Proportional to 7,642,031 and 10,384,086

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Solution

The third proportional to 7,642,031 and 10,384,086 is: 14,110,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642,031 : 10,384,086 = 10,384,086 : x
  2. Step 2: Convert to fraction form
    7,642,031/10,384,086 = 10,384,086/x
  3. Step 3: Cross multiply
    7,642,031x = 10,384,086 × 10,384,086
  4. Step 4: Simplify right side
    7,642,031x = 107,829,242,055,396
  5. Step 5: Solve for x
    x = 107,829,242,055,396/7,642,031
  6. Step 6: Final answer
    x = 14,110,024.16

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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.