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Finding the Third Proportional to 47,018,051 and 110,630,627

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Solution

The third proportional to 47,018,051 and 110,630,627 is: 260,307,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,018,051 : 110,630,627 = 110,630,627 : x
  2. Step 2: Convert to fraction form
    47,018,051/110,630,627 = 110,630,627/x
  3. Step 3: Cross multiply
    47,018,051x = 110,630,627 × 110,630,627
  4. Step 4: Simplify right side
    47,018,051x = 12,239,135,630,413,128
  5. Step 5: Solve for x
    x = 12,239,135,630,413,128/47,018,051
  6. Step 6: Final answer
    x = 260,307,166.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.