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Finding the Third Proportional to 5,772,465 and 12,528,594

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Solution

The third proportional to 5,772,465 and 12,528,594 is: 27,192,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772,465 : 12,528,594 = 12,528,594 : x
  2. Step 2: Convert to fraction form
    5,772,465/12,528,594 = 12,528,594/x
  3. Step 3: Cross multiply
    5,772,465x = 12,528,594 × 12,528,594
  4. Step 4: Simplify right side
    5,772,465x = 156,965,667,616,836
  5. Step 5: Solve for x
    x = 156,965,667,616,836/5,772,465
  6. Step 6: Final answer
    x = 27,192,138.47

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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.