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Finding the Third Proportional to 7,812,630 and 17,137,996

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Solution

The third proportional to 7,812,630 and 17,137,996 is: 37,594,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812,630 : 17,137,996 = 17,137,996 : x
  2. Step 2: Convert to fraction form
    7,812,630/17,137,996 = 17,137,996/x
  3. Step 3: Cross multiply
    7,812,630x = 17,137,996 × 17,137,996
  4. Step 4: Simplify right side
    7,812,630x = 293,710,906,896,016
  5. Step 5: Solve for x
    x = 293,710,906,896,016/7,812,630
  6. Step 6: Final answer
    x = 37,594,370.51

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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.