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Finding the Third Proportional to 10,364,127,732 and 22,379,710,536

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Solution

The third proportional to 10,364,127,732 and 22,379,710,536 is: 48,325,479,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364,127,732 : 22,379,710,536 = 22,379,710,536 : x
  2. Step 2: Convert to fraction form
    10,364,127,732/22,379,710,536 = 22,379,710,536/x
  3. Step 3: Cross multiply
    10,364,127,732x = 22,379,710,536 × 22,379,710,536
  4. Step 4: Simplify right side
    10,364,127,732x = 500,851,443,675,149,434,880
  5. Step 5: Solve for x
    x = 500,851,443,675,149,434,880/10,364,127,732
  6. Step 6: Final answer
    x = 48,325,479,637.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.