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Finding the Third Proportional to 3,035,206,368 and 7,026,065,178

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Solution

The third proportional to 3,035,206,368 and 7,026,065,178 is: 16,264,327,989.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035,206,368 : 7,026,065,178 = 7,026,065,178 : x
  2. Step 2: Convert to fraction form
    3,035,206,368/7,026,065,178 = 7,026,065,178/x
  3. Step 3: Cross multiply
    3,035,206,368x = 7,026,065,178 × 7,026,065,178
  4. Step 4: Simplify right side
    3,035,206,368x = 49,365,591,885,504,167,936
  5. Step 5: Solve for x
    x = 49,365,591,885,504,167,936/3,035,206,368
  6. Step 6: Final answer
    x = 16,264,327,989.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.