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Finding the Third Proportional to 6,297,241,846 and 14,578,500,871

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Solution

The third proportional to 6,297,241,846 and 14,578,500,871 is: 33,750,123,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297,241,846 : 14,578,500,871 = 14,578,500,871 : x
  2. Step 2: Convert to fraction form
    6,297,241,846/14,578,500,871 = 14,578,500,871/x
  3. Step 3: Cross multiply
    6,297,241,846x = 14,578,500,871 × 14,578,500,871
  4. Step 4: Simplify right side
    6,297,241,846x = 212,532,687,645,747,773,440
  5. Step 5: Solve for x
    x = 212,532,687,645,747,773,440/6,297,241,846
  6. Step 6: Final answer
    x = 33,750,123,124.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.