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Finding the Third Proportional to 603,722,507,332 and 1,292,253,678,728

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Solution

The third proportional to 603,722,507,332 and 1,292,253,678,728 is: 2,766,038,287,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,722,507,332 : 1,292,253,678,728 = 1,292,253,678,728 : x
  2. Step 2: Convert to fraction form
    603,722,507,332/1,292,253,678,728 = 1,292,253,678,728/x
  3. Step 3: Cross multiply
    603,722,507,332x = 1,292,253,678,728 × 1,292,253,678,728
  4. Step 4: Simplify right side
    603,722,507,332x = 1,669,919,570,186,049,073,184,768
  5. Step 5: Solve for x
    x = 1,669,919,570,186,049,073,184,768/603,722,507,332
  6. Step 6: Final answer
    x = 2,766,038,287,301.63

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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.