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Finding the Third Proportional to 4,657,250 and 10,180,084

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Solution

The third proportional to 4,657,250 and 10,180,084 is: 22,252,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657,250 : 10,180,084 = 10,180,084 : x
  2. Step 2: Convert to fraction form
    4,657,250/10,180,084 = 10,180,084/x
  3. Step 3: Cross multiply
    4,657,250x = 10,180,084 × 10,180,084
  4. Step 4: Simplify right side
    4,657,250x = 103,634,110,247,056
  5. Step 5: Solve for x
    x = 103,634,110,247,056/4,657,250
  6. Step 6: Final answer
    x = 22,252,211.12

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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.