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Finding the Third Proportional to 10,598,059,040 and 23,121,114,296

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Solution

The third proportional to 10,598,059,040 and 23,121,114,296 is: 50,441,870,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598,059,040 : 23,121,114,296 = 23,121,114,296 : x
  2. Step 2: Convert to fraction form
    10,598,059,040/23,121,114,296 = 23,121,114,296/x
  3. Step 3: Cross multiply
    10,598,059,040x = 23,121,114,296 × 23,121,114,296
  4. Step 4: Simplify right side
    10,598,059,040x = 534,585,926,288,695,558,144
  5. Step 5: Solve for x
    x = 534,585,926,288,695,558,144/10,598,059,040
  6. Step 6: Final answer
    x = 50,441,870,937.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.