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Finding the Third Proportional to 39,277,475,060 and 86,159,271,568

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Solution

The third proportional to 39,277,475,060 and 86,159,271,568 is: 188,999,421,826.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,277,475,060 : 86,159,271,568 = 86,159,271,568 : x
  2. Step 2: Convert to fraction form
    39,277,475,060/86,159,271,568 = 86,159,271,568/x
  3. Step 3: Cross multiply
    39,277,475,060x = 86,159,271,568 × 86,159,271,568
  4. Step 4: Simplify right side
    39,277,475,060x = 7,423,420,077,128,373,239,808
  5. Step 5: Solve for x
    x = 7,423,420,077,128,373,239,808/39,277,475,060
  6. Step 6: Final answer
    x = 188,999,421,826.08

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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.