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Finding the Third Proportional to 3,644,271.42 and 7,974,916.59

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Solution

The third proportional to 3,644,271.42 and 7,974,916.59 is: 17,451,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644,271.42 : 7,974,916.59 = 7,974,916.59 : x
  2. Step 2: Convert to fraction form
    3,644,271.42/7,974,916.59 = 7,974,916.59/x
  3. Step 3: Cross multiply
    3,644,271.42x = 7,974,916.59 × 7,974,916.59
  4. Step 4: Simplify right side
    3,644,271.42x = 63,599,294,677,269.10
  5. Step 5: Solve for x
    x = 63,599,294,677,269.10/3,644,271.42
  6. Step 6: Final answer
    x = 17,451,854.52

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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.