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Finding the Third Proportional to 11,413,237,888 and 16,072,353,984

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Solution

The third proportional to 11,413,237,888 and 16,072,353,984 is: 22,633,416,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413,237,888 : 16,072,353,984 = 16,072,353,984 : x
  2. Step 2: Convert to fraction form
    11,413,237,888/16,072,353,984 = 16,072,353,984/x
  3. Step 3: Cross multiply
    11,413,237,888x = 16,072,353,984 × 16,072,353,984
  4. Step 4: Simplify right side
    11,413,237,888x = 258,320,562,587,000,668,160
  5. Step 5: Solve for x
    x = 258,320,562,587,000,668,160/11,413,237,888
  6. Step 6: Final answer
    x = 22,633,416,136.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.