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Finding the Third Proportional to 13,924,864,416 and 30,054,921,768

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Solution

The third proportional to 13,924,864,416 and 30,054,921,768 is: 64,869,451,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924,864,416 : 30,054,921,768 = 30,054,921,768 : x
  2. Step 2: Convert to fraction form
    13,924,864,416/30,054,921,768 = 30,054,921,768/x
  3. Step 3: Cross multiply
    13,924,864,416x = 30,054,921,768 × 30,054,921,768
  4. Step 4: Simplify right side
    13,924,864,416x = 903,298,322,480,600,186,880
  5. Step 5: Solve for x
    x = 903,298,322,480,600,186,880/13,924,864,416
  6. Step 6: Final answer
    x = 64,869,451,902.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.