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Finding the Third Proportional to 2,646,303.75 and 5,740,699.13

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Solution

The third proportional to 2,646,303.75 and 5,740,699.13 is: 12,453,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646,303.75 : 5,740,699.13 = 5,740,699.13 : x
  2. Step 2: Convert to fraction form
    2,646,303.75/5,740,699.13 = 5,740,699.13/x
  3. Step 3: Cross multiply
    2,646,303.75x = 5,740,699.13 × 5,740,699.13
  4. Step 4: Simplify right side
    2,646,303.75x = 32,955,626,443,775.77
  5. Step 5: Solve for x
    x = 32,955,626,443,775.77/2,646,303.75
  6. Step 6: Final answer
    x = 12,453,455.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.