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Finding the Third Proportional to 4,159,944,872 and 8,465,172,688

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Solution

The third proportional to 4,159,944,872 and 8,465,172,688 is: 17,225,985,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159,944,872 : 8,465,172,688 = 8,465,172,688 : x
  2. Step 2: Convert to fraction form
    4,159,944,872/8,465,172,688 = 8,465,172,688/x
  3. Step 3: Cross multiply
    4,159,944,872x = 8,465,172,688 × 8,465,172,688
  4. Step 4: Simplify right side
    4,159,944,872x = 71,659,148,637,661,143,040
  5. Step 5: Solve for x
    x = 71,659,148,637,661,143,040/4,159,944,872
  6. Step 6: Final answer
    x = 17,225,985,161.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.