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Finding the Third Proportional to 22,972,971 and 35,567,212.50

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Solution

The third proportional to 22,972,971 and 35,567,212.50 is: 55,065,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,972,971 : 35,567,212.50 = 35,567,212.50 : x
  2. Step 2: Convert to fraction form
    22,972,971/35,567,212.50 = 35,567,212.50/x
  3. Step 3: Cross multiply
    22,972,971x = 35,567,212.50 × 35,567,212.50
  4. Step 4: Simplify right side
    22,972,971x = 1,265,026,605,020,156.25
  5. Step 5: Solve for x
    x = 1,265,026,605,020,156.25/22,972,971
  6. Step 6: Final answer
    x = 55,065,868.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.