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Finding the Third Proportional to 47,881,538 and 74,292,402

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Solution

The third proportional to 47,881,538 and 74,292,402 is: 115,271,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,881,538 : 74,292,402 = 74,292,402 : x
  2. Step 2: Convert to fraction form
    47,881,538/74,292,402 = 74,292,402/x
  3. Step 3: Cross multiply
    47,881,538x = 74,292,402 × 74,292,402
  4. Step 4: Simplify right side
    47,881,538x = 5,519,360,994,929,604
  5. Step 5: Solve for x
    x = 5,519,360,994,929,604/47,881,538
  6. Step 6: Final answer
    x = 115,271,171.84

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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.