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Finding the Third Proportional to 5,686,644.23 and 12,455,750.95

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Solution

The third proportional to 5,686,644.23 and 12,455,750.95 is: 27,282,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686,644.23 : 12,455,750.95 = 12,455,750.95 : x
  2. Step 2: Convert to fraction form
    5,686,644.23/12,455,750.95 = 12,455,750.95/x
  3. Step 3: Cross multiply
    5,686,644.23x = 12,455,750.95 × 12,455,750.95
  4. Step 4: Simplify right side
    5,686,644.23x = 155,145,731,806,274.34
  5. Step 5: Solve for x
    x = 155,145,731,806,274.34/5,686,644.23
  6. Step 6: Final answer
    x = 27,282,475.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.