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Finding the Third Proportional to 4,176,499.36 and 6,645,697.10

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Solution

The third proportional to 4,176,499.36 and 6,645,697.10 is: 10,574,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176,499.36 : 6,645,697.10 = 6,645,697.10 : x
  2. Step 2: Convert to fraction form
    4,176,499.36/6,645,697.10 = 6,645,697.10/x
  3. Step 3: Cross multiply
    4,176,499.36x = 6,645,697.10 × 6,645,697.10
  4. Step 4: Simplify right side
    4,176,499.36x = 44,165,289,965,716.21
  5. Step 5: Solve for x
    x = 44,165,289,965,716.21/4,176,499.36
  6. Step 6: Final answer
    x = 10,574,714.89

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.