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Finding the Third Proportional to 6,707,113.88 and 14,548,460.63

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Solution

The third proportional to 6,707,113.88 and 14,548,460.63 is: 31,557,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707,113.88 : 14,548,460.63 = 14,548,460.63 : x
  2. Step 2: Convert to fraction form
    6,707,113.88/14,548,460.63 = 14,548,460.63/x
  3. Step 3: Cross multiply
    6,707,113.88x = 14,548,460.63 × 14,548,460.63
  4. Step 4: Simplify right side
    6,707,113.88x = 211,657,706,557,175.38
  5. Step 5: Solve for x
    x = 211,657,706,557,175.38/6,707,113.88
  6. Step 6: Final answer
    x = 31,557,195.91

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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.