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Finding the Third Proportional to 564,558,658 and 1,175,512,523

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Solution

The third proportional to 564,558,658 and 1,175,512,523 is: 2,447,628,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,558,658 : 1,175,512,523 = 1,175,512,523 : x
  2. Step 2: Convert to fraction form
    564,558,658/1,175,512,523 = 1,175,512,523/x
  3. Step 3: Cross multiply
    564,558,658x = 1,175,512,523 × 1,175,512,523
  4. Step 4: Simplify right side
    564,558,658x = 1,381,829,691,729,825,536
  5. Step 5: Solve for x
    x = 1,381,829,691,729,825,536/564,558,658
  6. Step 6: Final answer
    x = 2,447,628,199.74

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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.