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Finding the Third Proportional to 2,977,426.50 and 6,458,860.50

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Solution

The third proportional to 2,977,426.50 and 6,458,860.50 is: 14,011,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977,426.50 : 6,458,860.50 = 6,458,860.50 : x
  2. Step 2: Convert to fraction form
    2,977,426.50/6,458,860.50 = 6,458,860.50/x
  3. Step 3: Cross multiply
    2,977,426.50x = 6,458,860.50 × 6,458,860.50
  4. Step 4: Simplify right side
    2,977,426.50x = 41,716,878,958,460.25
  5. Step 5: Solve for x
    x = 41,716,878,958,460.25/2,977,426.50
  6. Step 6: Final answer
    x = 14,011,052.48

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