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Finding the Third Proportional to 3,973,575 and 8,582,382

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Solution

The third proportional to 3,973,575 and 8,582,382 is: 18,536,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973,575 : 8,582,382 = 8,582,382 : x
  2. Step 2: Convert to fraction form
    3,973,575/8,582,382 = 8,582,382/x
  3. Step 3: Cross multiply
    3,973,575x = 8,582,382 × 8,582,382
  4. Step 4: Simplify right side
    3,973,575x = 73,657,280,793,924
  5. Step 5: Solve for x
    x = 73,657,280,793,924/3,973,575
  6. Step 6: Final answer
    x = 18,536,778.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.