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Finding the Third Proportional to 10,160,338.50 and 15,478,706.25

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Solution

The third proportional to 10,160,338.50 and 15,478,706.25 is: 23,580,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160,338.50 : 15,478,706.25 = 15,478,706.25 : x
  2. Step 2: Convert to fraction form
    10,160,338.50/15,478,706.25 = 15,478,706.25/x
  3. Step 3: Cross multiply
    10,160,338.50x = 15,478,706.25 × 15,478,706.25
  4. Step 4: Simplify right side
    10,160,338.50x = 239,590,347,173,789.06
  5. Step 5: Solve for x
    x = 239,590,347,173,789.06/10,160,338.50
  6. Step 6: Final answer
    x = 23,580,941.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.