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Finding the Third Proportional to 6,178,924 and 13,456,312

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Solution

The third proportional to 6,178,924 and 13,456,312 is: 29,304,832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178,924 : 13,456,312 = 13,456,312 : x
  2. Step 2: Convert to fraction form
    6,178,924/13,456,312 = 13,456,312/x
  3. Step 3: Cross multiply
    6,178,924x = 13,456,312 × 13,456,312
  4. Step 4: Simplify right side
    6,178,924x = 181,072,332,641,344
  5. Step 5: Solve for x
    x = 181,072,332,641,344/6,178,924
  6. Step 6: Final answer
    x = 29,304,832.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.