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Finding the Third Proportional to 6,461,227,380 and 14,054,529,066

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Solution

The third proportional to 6,461,227,380 and 14,054,529,066 is: 30,571,557,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,227,380 : 14,054,529,066 = 14,054,529,066 : x
  2. Step 2: Convert to fraction form
    6,461,227,380/14,054,529,066 = 14,054,529,066/x
  3. Step 3: Cross multiply
    6,461,227,380x = 14,054,529,066 × 14,054,529,066
  4. Step 4: Simplify right side
    6,461,227,380x = 197,529,787,267,038,838,784
  5. Step 5: Solve for x
    x = 197,529,787,267,038,838,784/6,461,227,380
  6. Step 6: Final answer
    x = 30,571,557,948.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.