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Finding the Third Proportional to 39,277,474,957.50 and 86,159,271,387

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Solution

The third proportional to 39,277,474,957.50 and 86,159,271,387 is: 188,999,421,525.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,277,474,957.50 : 86,159,271,387 = 86,159,271,387 : x
  2. Step 2: Convert to fraction form
    39,277,474,957.50/86,159,271,387 = 86,159,271,387/x
  3. Step 3: Cross multiply
    39,277,474,957.50x = 86,159,271,387 × 86,159,271,387
  4. Step 4: Simplify right side
    39,277,474,957.50x = 7,423,420,045,938,717,097,984
  5. Step 5: Solve for x
    x = 7,423,420,045,938,717,097,984/39,277,474,957.50
  6. Step 6: Final answer
    x = 188,999,421,525.22

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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.