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Finding the Third Proportional to 15,226,407,545.50 and 23,277,252,982

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Solution

The third proportional to 15,226,407,545.50 and 23,277,252,982 is: 35,584,920,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226,407,545.50 : 23,277,252,982 = 23,277,252,982 : x
  2. Step 2: Convert to fraction form
    15,226,407,545.50/23,277,252,982 = 23,277,252,982/x
  3. Step 3: Cross multiply
    15,226,407,545.50x = 23,277,252,982 × 23,277,252,982
  4. Step 4: Simplify right side
    15,226,407,545.50x = 541,830,506,388,027,867,136
  5. Step 5: Solve for x
    x = 541,830,506,388,027,867,136/15,226,407,545.50
  6. Step 6: Final answer
    x = 35,584,920,787.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.