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Finding the Third Proportional to 47,881,584 and 74,292,462

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Solution

The third proportional to 47,881,584 and 74,292,462 is: 115,271,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,881,584 : 74,292,462 = 74,292,462 : x
  2. Step 2: Convert to fraction form
    47,881,584/74,292,462 = 74,292,462/x
  3. Step 3: Cross multiply
    47,881,584x = 74,292,462 × 74,292,462
  4. Step 4: Simplify right side
    47,881,584x = 5,519,369,910,021,444
  5. Step 5: Solve for x
    x = 5,519,369,910,021,444/47,881,584
  6. Step 6: Final answer
    x = 115,271,247.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.