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Finding the Third Proportional to 35,816,545,503 and 76,664,464,407

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Solution

The third proportional to 35,816,545,503 and 76,664,464,407 is: 164,098,463,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,816,545,503 : 76,664,464,407 = 76,664,464,407 : x
  2. Step 2: Convert to fraction form
    35,816,545,503/76,664,464,407 = 76,664,464,407/x
  3. Step 3: Cross multiply
    35,816,545,503x = 76,664,464,407 × 76,664,464,407
  4. Step 4: Simplify right side
    35,816,545,503x = 5,877,440,102,812,170,059,776
  5. Step 5: Solve for x
    x = 5,877,440,102,812,170,059,776/35,816,545,503
  6. Step 6: Final answer
    x = 164,098,463,999.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.