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Finding the Third Proportional to 215,699,413,172 and 468,942,462,180

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Solution

The third proportional to 215,699,413,172 and 468,942,462,180 is: 1,019,506,866,530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,699,413,172 : 468,942,462,180 = 468,942,462,180 : x
  2. Step 2: Convert to fraction form
    215,699,413,172/468,942,462,180 = 468,942,462,180/x
  3. Step 3: Cross multiply
    215,699,413,172x = 468,942,462,180 × 468,942,462,180
  4. Step 4: Simplify right side
    215,699,413,172x = 219,907,032,835,440,714,448,896
  5. Step 5: Solve for x
    x = 219,907,032,835,440,714,448,896/215,699,413,172
  6. Step 6: Final answer
    x = 1,019,506,866,530.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.