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Finding the Third Proportional to 6,014,565,987 and 12,524,105,313

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Solution

The third proportional to 6,014,565,987 and 12,524,105,313 is: 26,078,891,516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014,565,987 : 12,524,105,313 = 12,524,105,313 : x
  2. Step 2: Convert to fraction form
    6,014,565,987/12,524,105,313 = 12,524,105,313/x
  3. Step 3: Cross multiply
    6,014,565,987x = 12,524,105,313 × 12,524,105,313
  4. Step 4: Simplify right side
    6,014,565,987x = 156,853,213,891,114,827,776
  5. Step 5: Solve for x
    x = 156,853,213,891,114,827,776/6,014,565,987
  6. Step 6: Final answer
    x = 26,078,891,516.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.