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Finding the Third Proportional to 29,841,996 and 47,453,382

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Solution

The third proportional to 29,841,996 and 47,453,382 is: 75,458,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,841,996 : 47,453,382 = 47,453,382 : x
  2. Step 2: Convert to fraction form
    29,841,996/47,453,382 = 47,453,382/x
  3. Step 3: Cross multiply
    29,841,996x = 47,453,382 × 47,453,382
  4. Step 4: Simplify right side
    29,841,996x = 2,251,823,463,237,924
  5. Step 5: Solve for x
    x = 2,251,823,463,237,924/29,841,996
  6. Step 6: Final answer
    x = 75,458,205.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.