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Finding the Third Proportional to 564,558,656 and 1,175,512,519

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Solution

The third proportional to 564,558,656 and 1,175,512,519 is: 2,447,628,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,558,656 : 1,175,512,519 = 1,175,512,519 : x
  2. Step 2: Convert to fraction form
    564,558,656/1,175,512,519 = 1,175,512,519/x
  3. Step 3: Cross multiply
    564,558,656x = 1,175,512,519 × 1,175,512,519
  4. Step 4: Simplify right side
    564,558,656x = 1,381,829,682,325,725,440
  5. Step 5: Solve for x
    x = 1,381,829,682,325,725,440/564,558,656
  6. Step 6: Final answer
    x = 2,447,628,191.76

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.