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Finding the Third Proportional to 7,570,680,466.50 and 16,474,463,973

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Solution

The third proportional to 7,570,680,466.50 and 16,474,463,973 is: 35,849,876,956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570,680,466.50 : 16,474,463,973 = 16,474,463,973 : x
  2. Step 2: Convert to fraction form
    7,570,680,466.50/16,474,463,973 = 16,474,463,973/x
  3. Step 3: Cross multiply
    7,570,680,466.50x = 16,474,463,973 × 16,474,463,973
  4. Step 4: Simplify right side
    7,570,680,466.50x = 271,407,963,197,674,946,560
  5. Step 5: Solve for x
    x = 271,407,963,197,674,946,560/7,570,680,466.50
  6. Step 6: Final answer
    x = 35,849,876,956.06

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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.