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Finding the Third Proportional to 7,312,137 and 15,844,623

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Solution

The third proportional to 7,312,137 and 15,844,623 is: 34,333,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312,137 : 15,844,623 = 15,844,623 : x
  2. Step 2: Convert to fraction form
    7,312,137/15,844,623 = 15,844,623/x
  3. Step 3: Cross multiply
    7,312,137x = 15,844,623 × 15,844,623
  4. Step 4: Simplify right side
    7,312,137x = 251,052,078,012,129
  5. Step 5: Solve for x
    x = 251,052,078,012,129/7,312,137
  6. Step 6: Final answer
    x = 34,333,612.46

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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.