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Finding the Third Proportional to 47,881,431 and 74,292,304.50

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Solution

The third proportional to 47,881,431 and 74,292,304.50 is: 115,271,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,881,431 : 74,292,304.50 = 74,292,304.50 : x
  2. Step 2: Convert to fraction form
    47,881,431/74,292,304.50 = 74,292,304.50/x
  3. Step 3: Cross multiply
    47,881,431x = 74,292,304.50 × 74,292,304.50
  4. Step 4: Simplify right side
    47,881,431x = 5,519,346,507,920,720
  5. Step 5: Solve for x
    x = 5,519,346,507,920,720/47,881,431
  6. Step 6: Final answer
    x = 115,271,126.88

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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.