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Finding the Third Proportional to 3,898,946 and 8,694,384.50

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Solution

The third proportional to 3,898,946 and 8,694,384.50 is: 19,387,886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898,946 : 8,694,384.50 = 8,694,384.50 : x
  2. Step 2: Convert to fraction form
    3,898,946/8,694,384.50 = 8,694,384.50/x
  3. Step 3: Cross multiply
    3,898,946x = 8,694,384.50 × 8,694,384.50
  4. Step 4: Simplify right side
    3,898,946x = 75,592,321,833,840.25
  5. Step 5: Solve for x
    x = 75,592,321,833,840.25/3,898,946
  6. Step 6: Final answer
    x = 19,387,886.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.