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Finding the Third Proportional to 4,312,285.59 and 9,222,905.53

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Solution

The third proportional to 4,312,285.59 and 9,222,905.53 is: 19,725,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312,285.59 : 9,222,905.53 = 9,222,905.53 : x
  2. Step 2: Convert to fraction form
    4,312,285.59/9,222,905.53 = 9,222,905.53/x
  3. Step 3: Cross multiply
    4,312,285.59x = 9,222,905.53 × 9,222,905.53
  4. Step 4: Simplify right side
    4,312,285.59x = 85,061,986,438,361.84
  5. Step 5: Solve for x
    x = 85,061,986,438,361.84/4,312,285.59
  6. Step 6: Final answer
    x = 19,725,499.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.