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Finding the Third Proportional to 9,302,777,056.13 and 13,960,969,342.88

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Solution

The third proportional to 9,302,777,056.13 and 13,960,969,342.88 is: 20,951,664,628.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302,777,056.13 : 13,960,969,342.88 = 13,960,969,342.88 : x
  2. Step 2: Convert to fraction form
    9,302,777,056.13/13,960,969,342.88 = 13,960,969,342.88/x
  3. Step 3: Cross multiply
    9,302,777,056.13x = 13,960,969,342.88 × 13,960,969,342.88
  4. Step 4: Simplify right side
    9,302,777,056.13x = 194,908,664,992,695,615,488
  5. Step 5: Solve for x
    x = 194,908,664,992,695,615,488/9,302,777,056.13
  6. Step 6: Final answer
    x = 20,951,664,628.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.