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Finding the Third Proportional to 7,950,024 and 17,158,896

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Solution

The third proportional to 7,950,024 and 17,158,896 is: 37,034,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950,024 : 17,158,896 = 17,158,896 : x
  2. Step 2: Convert to fraction form
    7,950,024/17,158,896 = 17,158,896/x
  3. Step 3: Cross multiply
    7,950,024x = 17,158,896 × 17,158,896
  4. Step 4: Simplify right side
    7,950,024x = 294,427,711,938,816
  5. Step 5: Solve for x
    x = 294,427,711,938,816/7,950,024
  6. Step 6: Final answer
    x = 37,034,820.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.