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Finding the Third Proportional to 9,185,683.50 and 13,512,784.50

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Solution

The third proportional to 9,185,683.50 and 13,512,784.50 is: 19,878,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185,683.50 : 13,512,784.50 = 13,512,784.50 : x
  2. Step 2: Convert to fraction form
    9,185,683.50/13,512,784.50 = 13,512,784.50/x
  3. Step 3: Cross multiply
    9,185,683.50x = 13,512,784.50 × 13,512,784.50
  4. Step 4: Simplify right side
    9,185,683.50x = 182,595,344,943,440.25
  5. Step 5: Solve for x
    x = 182,595,344,943,440.25/9,185,683.50
  6. Step 6: Final answer
    x = 19,878,253.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.