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Finding the Third Proportional to 52,023,987 and 120,472,096.50

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Solution

The third proportional to 52,023,987 and 120,472,096.50 is: 278,977,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,023,987 : 120,472,096.50 = 120,472,096.50 : x
  2. Step 2: Convert to fraction form
    52,023,987/120,472,096.50 = 120,472,096.50/x
  3. Step 3: Cross multiply
    52,023,987x = 120,472,096.50 × 120,472,096.50
  4. Step 4: Simplify right side
    52,023,987x = 14,513,526,035,105,312
  5. Step 5: Solve for x
    x = 14,513,526,035,105,312/52,023,987
  6. Step 6: Final answer
    x = 278,977,580.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.