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Finding the Third Proportional to 9,615,920,410 and 20,887,166,918

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Solution

The third proportional to 9,615,920,410 and 20,887,166,918 is: 45,369,941,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615,920,410 : 20,887,166,918 = 20,887,166,918 : x
  2. Step 2: Convert to fraction form
    9,615,920,410/20,887,166,918 = 20,887,166,918/x
  3. Step 3: Cross multiply
    9,615,920,410x = 20,887,166,918 × 20,887,166,918
  4. Step 4: Simplify right side
    9,615,920,410x = 436,273,741,860,393,648,128
  5. Step 5: Solve for x
    x = 436,273,741,860,393,648,128/9,615,920,410
  6. Step 6: Final answer
    x = 45,369,941,020.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.