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Finding the Third Proportional to 52,111,086 and 69,473,537

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Solution

The third proportional to 52,111,086 and 69,473,537 is: 92,620,835.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,111,086 : 69,473,537 = 69,473,537 : x
  2. Step 2: Convert to fraction form
    52,111,086/69,473,537 = 69,473,537/x
  3. Step 3: Cross multiply
    52,111,086x = 69,473,537 × 69,473,537
  4. Step 4: Simplify right side
    52,111,086x = 4,826,572,343,290,369
  5. Step 5: Solve for x
    x = 4,826,572,343,290,369/52,111,086
  6. Step 6: Final answer
    x = 92,620,835.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.