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Finding the Third Proportional to 47,851,070 and 74,237,070

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Solution

The third proportional to 47,851,070 and 74,237,070 is: 115,172,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851,070 : 74,237,070 = 74,237,070 : x
  2. Step 2: Convert to fraction form
    47,851,070/74,237,070 = 74,237,070/x
  3. Step 3: Cross multiply
    47,851,070x = 74,237,070 × 74,237,070
  4. Step 4: Simplify right side
    47,851,070x = 5,511,142,562,184,900
  5. Step 5: Solve for x
    x = 5,511,142,562,184,900/47,851,070
  6. Step 6: Final answer
    x = 115,172,817.71

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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.