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Finding the Third Proportional to 7,642,026 and 10,384,078.50

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Solution

The third proportional to 7,642,026 and 10,384,078.50 is: 14,110,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642,026 : 10,384,078.50 = 10,384,078.50 : x
  2. Step 2: Convert to fraction form
    7,642,026/10,384,078.50 = 10,384,078.50/x
  3. Step 3: Cross multiply
    7,642,026x = 10,384,078.50 × 10,384,078.50
  4. Step 4: Simplify right side
    7,642,026x = 107,829,086,294,162.25
  5. Step 5: Solve for x
    x = 107,829,086,294,162.25/7,642,026
  6. Step 6: Final answer
    x = 14,110,013.01

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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.