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Finding the Third Proportional to 4,946,602.50 and 7,644,133.50

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Solution

The third proportional to 4,946,602.50 and 7,644,133.50 is: 11,812,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946,602.50 : 7,644,133.50 = 7,644,133.50 : x
  2. Step 2: Convert to fraction form
    4,946,602.50/7,644,133.50 = 7,644,133.50/x
  3. Step 3: Cross multiply
    4,946,602.50x = 7,644,133.50 × 7,644,133.50
  4. Step 4: Simplify right side
    4,946,602.50x = 58,432,776,965,822.25
  5. Step 5: Solve for x
    x = 58,432,776,965,822.25/4,946,602.50
  6. Step 6: Final answer
    x = 11,812,709.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.