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Finding the Third Proportional to 52,018,310 and 114,333,340

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Solution

The third proportional to 52,018,310 and 114,333,340 is: 251,298,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,018,310 : 114,333,340 = 114,333,340 : x
  2. Step 2: Convert to fraction form
    52,018,310/114,333,340 = 114,333,340/x
  3. Step 3: Cross multiply
    52,018,310x = 114,333,340 × 114,333,340
  4. Step 4: Simplify right side
    52,018,310x = 13,072,112,635,555,600
  5. Step 5: Solve for x
    x = 13,072,112,635,555,600/52,018,310
  6. Step 6: Final answer
    x = 251,298,295.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.