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Finding the Third Proportional to 2,614,639,500 and 5,602,291,128

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Solution

The third proportional to 2,614,639,500 and 5,602,291,128 is: 12,003,821,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614,639,500 : 5,602,291,128 = 5,602,291,128 : x
  2. Step 2: Convert to fraction form
    2,614,639,500/5,602,291,128 = 5,602,291,128/x
  3. Step 3: Cross multiply
    2,614,639,500x = 5,602,291,128 × 5,602,291,128
  4. Step 4: Simplify right side
    2,614,639,500x = 31,385,665,882,867,511,296
  5. Step 5: Solve for x
    x = 31,385,665,882,867,511,296/2,614,639,500
  6. Step 6: Final answer
    x = 12,003,821,514.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.