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Finding the Third Proportional to 2,977,423.31 and 6,458,853.94

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Solution

The third proportional to 2,977,423.31 and 6,458,853.94 is: 14,011,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977,423.31 : 6,458,853.94 = 6,458,853.94 : x
  2. Step 2: Convert to fraction form
    2,977,423.31/6,458,853.94 = 6,458,853.94/x
  3. Step 3: Cross multiply
    2,977,423.31x = 6,458,853.94 × 6,458,853.94
  4. Step 4: Simplify right side
    2,977,423.31x = 41,716,794,185,959.25
  5. Step 5: Solve for x
    x = 41,716,794,185,959.25/2,977,423.31
  6. Step 6: Final answer
    x = 14,011,039.01

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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.