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Finding the Third Proportional to 215,699,413,175 and 468,942,462,186

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Solution

The third proportional to 215,699,413,175 and 468,942,462,186 is: 1,019,506,866,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,699,413,175 : 468,942,462,186 = 468,942,462,186 : x
  2. Step 2: Convert to fraction form
    215,699,413,175/468,942,462,186 = 468,942,462,186/x
  3. Step 3: Cross multiply
    215,699,413,175x = 468,942,462,186 × 468,942,462,186
  4. Step 4: Simplify right side
    215,699,413,175x = 219,907,032,841,068,027,576,320
  5. Step 5: Solve for x
    x = 219,907,032,841,068,027,576,320/215,699,413,175
  6. Step 6: Final answer
    x = 1,019,506,866,542.35

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