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Finding the Third Proportional to 39,277,475,007 and 86,159,271,477

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Solution

The third proportional to 39,277,475,007 and 86,159,271,477 is: 188,999,421,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,277,475,007 : 86,159,271,477 = 86,159,271,477 : x
  2. Step 2: Convert to fraction form
    39,277,475,007/86,159,271,477 = 86,159,271,477/x
  3. Step 3: Cross multiply
    39,277,475,007x = 86,159,271,477 × 86,159,271,477
  4. Step 4: Simplify right side
    39,277,475,007x = 7,423,420,061,447,385,776,128
  5. Step 5: Solve for x
    x = 7,423,420,061,447,385,776,128/39,277,475,007
  6. Step 6: Final answer
    x = 188,999,421,681.88

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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.