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Finding the Third Proportional to 2,877,979,610,960 and 6,399,434,386,000

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Solution

The third proportional to 2,877,979,610,960 and 6,399,434,386,000 is: 14,229,690,962,632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,979,610,960 : 6,399,434,386,000 = 6,399,434,386,000 : x
  2. Step 2: Convert to fraction form
    2,877,979,610,960/6,399,434,386,000 = 6,399,434,386,000/x
  3. Step 3: Cross multiply
    2,877,979,610,960x = 6,399,434,386,000 × 6,399,434,386,000
  4. Step 4: Simplify right side
    2,877,979,610,960x = 40,952,760,460,719,200,585,908,224
  5. Step 5: Solve for x
    x = 40,952,760,460,719,200,585,908,224/2,877,979,610,960
  6. Step 6: Final answer
    x = 14,229,690,962,632.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.