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Finding the Third Proportional to 7,648,700.91 and 11,860,790.77

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Solution

The third proportional to 7,648,700.91 and 11,860,790.77 is: 18,392,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648,700.91 : 11,860,790.77 = 11,860,790.77 : x
  2. Step 2: Convert to fraction form
    7,648,700.91/11,860,790.77 = 11,860,790.77/x
  3. Step 3: Cross multiply
    7,648,700.91x = 11,860,790.77 × 11,860,790.77
  4. Step 4: Simplify right side
    7,648,700.91x = 140,678,357,585,935.28
  5. Step 5: Solve for x
    x = 140,678,357,585,935.28/7,648,700.91
  6. Step 6: Final answer
    x = 18,392,451.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.