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Finding the Third Proportional to 29,841,795 and 47,453,062

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Solution

The third proportional to 29,841,795 and 47,453,062 is: 75,457,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,841,795 : 47,453,062 = 47,453,062 : x
  2. Step 2: Convert to fraction form
    29,841,795/47,453,062 = 47,453,062/x
  3. Step 3: Cross multiply
    29,841,795x = 47,453,062 × 47,453,062
  4. Step 4: Simplify right side
    29,841,795x = 2,251,793,093,175,844
  5. Step 5: Solve for x
    x = 2,251,793,093,175,844/29,841,795
  6. Step 6: Final answer
    x = 75,457,695.93

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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.