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Finding the Third Proportional to 2,983,459.50 and 6,442,316.44

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Solution

The third proportional to 2,983,459.50 and 6,442,316.44 is: 13,911,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983,459.50 : 6,442,316.44 = 6,442,316.44 : x
  2. Step 2: Convert to fraction form
    2,983,459.50/6,442,316.44 = 6,442,316.44/x
  3. Step 3: Cross multiply
    2,983,459.50x = 6,442,316.44 × 6,442,316.44
  4. Step 4: Simplify right side
    2,983,459.50x = 41,503,441,080,882.69
  5. Step 5: Solve for x
    x = 41,503,441,080,882.69/2,983,459.50
  6. Step 6: Final answer
    x = 13,911,179.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.