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Finding the Third Proportional to 201,030,722,862 and 430,741,117,573

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Solution

The third proportional to 201,030,722,862 and 430,741,117,573 is: 922,933,110,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,030,722,862 : 430,741,117,573 = 430,741,117,573 : x
  2. Step 2: Convert to fraction form
    201,030,722,862/430,741,117,573 = 430,741,117,573/x
  3. Step 3: Cross multiply
    201,030,722,862x = 430,741,117,573 × 430,741,117,573
  4. Step 4: Simplify right side
    201,030,722,862x = 185,537,910,368,037,022,728,192
  5. Step 5: Solve for x
    x = 185,537,910,368,037,022,728,192/201,030,722,862
  6. Step 6: Final answer
    x = 922,933,110,554.46

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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.