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Finding the Third Proportional to 5,910,841,863 and 12,850,527,258

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Solution

The third proportional to 5,910,841,863 and 12,850,527,258 is: 27,937,822,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910,841,863 : 12,850,527,258 = 12,850,527,258 : x
  2. Step 2: Convert to fraction form
    5,910,841,863/12,850,527,258 = 12,850,527,258/x
  3. Step 3: Cross multiply
    5,910,841,863x = 12,850,527,258 × 12,850,527,258
  4. Step 4: Simplify right side
    5,910,841,863x = 165,136,050,808,600,985,600
  5. Step 5: Solve for x
    x = 165,136,050,808,600,985,600/5,910,841,863
  6. Step 6: Final answer
    x = 27,937,822,502.46

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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.