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Finding the Third Proportional to 4,658,148 and 10,179,877.50

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Solution

The third proportional to 4,658,148 and 10,179,877.50 is: 22,247,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658,148 : 10,179,877.50 = 10,179,877.50 : x
  2. Step 2: Convert to fraction form
    4,658,148/10,179,877.50 = 10,179,877.50/x
  3. Step 3: Cross multiply
    4,658,148x = 10,179,877.50 × 10,179,877.50
  4. Step 4: Simplify right side
    4,658,148x = 103,629,905,915,006.25
  5. Step 5: Solve for x
    x = 103,629,905,915,006.25/4,658,148
  6. Step 6: Final answer
    x = 22,247,018.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.