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Finding the Third Proportional to 39,277,475,046 and 86,159,271,540

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Solution

The third proportional to 39,277,475,046 and 86,159,271,540 is: 188,999,421,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,277,475,046 : 86,159,271,540 = 86,159,271,540 : x
  2. Step 2: Convert to fraction form
    39,277,475,046/86,159,271,540 = 86,159,271,540/x
  3. Step 3: Cross multiply
    39,277,475,046x = 86,159,271,540 × 86,159,271,540
  4. Step 4: Simplify right side
    39,277,475,046x = 7,423,420,072,303,453,536,256
  5. Step 5: Solve for x
    x = 7,423,420,072,303,453,536,256/39,277,475,046
  6. Step 6: Final answer
    x = 188,999,421,770.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.