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Finding the Third Proportional to 9,097,325,856 and 13,757,963,184

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Solution

The third proportional to 9,097,325,856 and 13,757,963,184 is: 20,806,284,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097,325,856 : 13,757,963,184 = 13,757,963,184 : x
  2. Step 2: Convert to fraction form
    9,097,325,856/13,757,963,184 = 13,757,963,184/x
  3. Step 3: Cross multiply
    9,097,325,856x = 13,757,963,184 × 13,757,963,184
  4. Step 4: Simplify right side
    9,097,325,856x = 189,281,550,972,299,411,456
  5. Step 5: Solve for x
    x = 189,281,550,972,299,411,456/9,097,325,856
  6. Step 6: Final answer
    x = 20,806,284,612.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.