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Finding the Third Proportional to 52,369,966,602 and 114,879,028,500

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Solution

The third proportional to 52,369,966,602 and 114,879,028,500 is: 251,999,228,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,369,966,602 : 114,879,028,500 = 114,879,028,500 : x
  2. Step 2: Convert to fraction form
    52,369,966,602/114,879,028,500 = 114,879,028,500/x
  3. Step 3: Cross multiply
    52,369,966,602x = 114,879,028,500 × 114,879,028,500
  4. Step 4: Simplify right side
    52,369,966,602x = 13,197,191,189,103,812,542,464
  5. Step 5: Solve for x
    x = 13,197,191,189,103,812,542,464/52,369,966,602
  6. Step 6: Final answer
    x = 251,999,228,668.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.