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Finding the Third Proportional to 47,851,071 and 74,237,070.75

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Solution

The third proportional to 47,851,071 and 74,237,070.75 is: 115,172,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851,071 : 74,237,070.75 = 74,237,070.75 : x
  2. Step 2: Convert to fraction form
    47,851,071/74,237,070.75 = 74,237,070.75/x
  3. Step 3: Cross multiply
    47,851,071x = 74,237,070.75 × 74,237,070.75
  4. Step 4: Simplify right side
    47,851,071x = 5,511,142,673,540,506
  5. Step 5: Solve for x
    x = 5,511,142,673,540,506/47,851,071
  6. Step 6: Final answer
    x = 115,172,817.63

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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.