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Finding the Third Proportional to 2,890,686.47 and 6,427,679.14

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Solution

The third proportional to 2,890,686.47 and 6,427,679.14 is: 14,292,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890,686.47 : 6,427,679.14 = 6,427,679.14 : x
  2. Step 2: Convert to fraction form
    2,890,686.47/6,427,679.14 = 6,427,679.14/x
  3. Step 3: Cross multiply
    2,890,686.47x = 6,427,679.14 × 6,427,679.14
  4. Step 4: Simplify right side
    2,890,686.47x = 41,315,059,147,381.57
  5. Step 5: Solve for x
    x = 41,315,059,147,381.57/2,890,686.47
  6. Step 6: Final answer
    x = 14,292,473.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.