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Finding the Third Proportional to 5,758,740 and 12,602,232

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Solution

The third proportional to 5,758,740 and 12,602,232 is: 27,578,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758,740 : 12,602,232 = 12,602,232 : x
  2. Step 2: Convert to fraction form
    5,758,740/12,602,232 = 12,602,232/x
  3. Step 3: Cross multiply
    5,758,740x = 12,602,232 × 12,602,232
  4. Step 4: Simplify right side
    5,758,740x = 158,816,251,381,824
  5. Step 5: Solve for x
    x = 158,816,251,381,824/5,758,740
  6. Step 6: Final answer
    x = 27,578,298.62

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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.