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Finding the Third Proportional to 5,610,681,782 and 12,197,961,124

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Solution

The third proportional to 5,610,681,782 and 12,197,961,124 is: 26,519,104,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610,681,782 : 12,197,961,124 = 12,197,961,124 : x
  2. Step 2: Convert to fraction form
    5,610,681,782/12,197,961,124 = 12,197,961,124/x
  3. Step 3: Cross multiply
    5,610,681,782x = 12,197,961,124 × 12,197,961,124
  4. Step 4: Simplify right side
    5,610,681,782x = 148,790,255,582,615,339,008
  5. Step 5: Solve for x
    x = 148,790,255,582,615,339,008/5,610,681,782
  6. Step 6: Final answer
    x = 26,519,104,337.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.