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Finding the Third Proportional to 10,705,153.50 and 16,010,959.50

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Solution

The third proportional to 10,705,153.50 and 16,010,959.50 is: 23,946,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705,153.50 : 16,010,959.50 = 16,010,959.50 : x
  2. Step 2: Convert to fraction form
    10,705,153.50/16,010,959.50 = 16,010,959.50/x
  3. Step 3: Cross multiply
    10,705,153.50x = 16,010,959.50 × 16,010,959.50
  4. Step 4: Simplify right side
    10,705,153.50x = 256,350,824,110,640.25
  5. Step 5: Solve for x
    x = 256,350,824,110,640.25/10,705,153.50
  6. Step 6: Final answer
    x = 23,946,487.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.