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Finding the Third Proportional to 3,124,827 and 6,847,920

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Solution

The third proportional to 3,124,827 and 6,847,920 is: 15,006,913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124,827 : 6,847,920 = 6,847,920 : x
  2. Step 2: Convert to fraction form
    3,124,827/6,847,920 = 6,847,920/x
  3. Step 3: Cross multiply
    3,124,827x = 6,847,920 × 6,847,920
  4. Step 4: Simplify right side
    3,124,827x = 46,894,008,326,400
  5. Step 5: Solve for x
    x = 46,894,008,326,400/3,124,827
  6. Step 6: Final answer
    x = 15,006,913.45

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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.