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Finding the Third Proportional to 14,797,798,314 and 21,380,263,143

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Solution

The third proportional to 14,797,798,314 and 21,380,263,143 is: 30,890,788,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797,798,314 : 21,380,263,143 = 21,380,263,143 : x
  2. Step 2: Convert to fraction form
    14,797,798,314/21,380,263,143 = 21,380,263,143/x
  3. Step 3: Cross multiply
    14,797,798,314x = 21,380,263,143 × 21,380,263,143
  4. Step 4: Simplify right side
    14,797,798,314x = 457,115,652,063,924,256,768
  5. Step 5: Solve for x
    x = 457,115,652,063,924,256,768/14,797,798,314
  6. Step 6: Final answer
    x = 30,890,788,099.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.