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Finding the Third Proportional to 9,625,927,720 and 20,576,579,159

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Solution

The third proportional to 9,625,927,720 and 20,576,579,159 is: 43,984,914,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625,927,720 : 20,576,579,159 = 20,576,579,159 : x
  2. Step 2: Convert to fraction form
    9,625,927,720/20,576,579,159 = 20,576,579,159/x
  3. Step 3: Cross multiply
    9,625,927,720x = 20,576,579,159 × 20,576,579,159
  4. Step 4: Simplify right side
    9,625,927,720x = 423,395,609,886,593,122,304
  5. Step 5: Solve for x
    x = 423,395,609,886,593,122,304/9,625,927,720
  6. Step 6: Final answer
    x = 43,984,914,722.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.