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Finding the Third Proportional to 501,381,903 and 1,099,619,070

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Solution

The third proportional to 501,381,903 and 1,099,619,070 is: 2,411,658,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,381,903 : 1,099,619,070 = 1,099,619,070 : x
  2. Step 2: Convert to fraction form
    501,381,903/1,099,619,070 = 1,099,619,070/x
  3. Step 3: Cross multiply
    501,381,903x = 1,099,619,070 × 1,099,619,070
  4. Step 4: Simplify right side
    501,381,903x = 1,209,162,099,107,664,896
  5. Step 5: Solve for x
    x = 1,209,162,099,107,664,896/501,381,903
  6. Step 6: Final answer
    x = 2,411,658,841.04

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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.