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Finding the Third Proportional to 5,371,413,168 and 11,559,119,964

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Solution

The third proportional to 5,371,413,168 and 11,559,119,964 is: 24,874,879,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371,413,168 : 11,559,119,964 = 11,559,119,964 : x
  2. Step 2: Convert to fraction form
    5,371,413,168/11,559,119,964 = 11,559,119,964/x
  3. Step 3: Cross multiply
    5,371,413,168x = 11,559,119,964 × 11,559,119,964
  4. Step 4: Simplify right side
    5,371,413,168x = 133,613,254,342,143,361,024
  5. Step 5: Solve for x
    x = 133,613,254,342,143,361,024/5,371,413,168
  6. Step 6: Final answer
    x = 24,874,879,321.91

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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.