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Finding the Third Proportional to 5,371,414,911 and 11,559,123,441

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Solution

The third proportional to 5,371,414,911 and 11,559,123,441 is: 24,874,886,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371,414,911 : 11,559,123,441 = 11,559,123,441 : x
  2. Step 2: Convert to fraction form
    5,371,414,911/11,559,123,441 = 11,559,123,441/x
  3. Step 3: Cross multiply
    5,371,414,911x = 11,559,123,441 × 11,559,123,441
  4. Step 4: Simplify right side
    5,371,414,911x = 133,613,334,724,275,683,328
  5. Step 5: Solve for x
    x = 133,613,334,724,275,683,328/5,371,414,911
  6. Step 6: Final answer
    x = 24,874,886,214.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.