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Finding the Third Proportional to 6,426,924,714 and 9,926,914,992

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Solution

The third proportional to 6,426,924,714 and 9,926,914,992 is: 15,332,938,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426,924,714 : 9,926,914,992 = 9,926,914,992 : x
  2. Step 2: Convert to fraction form
    6,426,924,714/9,926,914,992 = 9,926,914,992/x
  3. Step 3: Cross multiply
    6,426,924,714x = 9,926,914,992 × 9,926,914,992
  4. Step 4: Simplify right side
    6,426,924,714x = 98,543,641,258,394,353,664
  5. Step 5: Solve for x
    x = 98,543,641,258,394,353,664/6,426,924,714
  6. Step 6: Final answer
    x = 15,332,938,480.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.