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Finding the Third Proportional to 7,798,894 and 16,830,896

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Solution

The third proportional to 7,798,894 and 16,830,896 is: 36,322,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798,894 : 16,830,896 = 16,830,896 : x
  2. Step 2: Convert to fraction form
    7,798,894/16,830,896 = 16,830,896/x
  3. Step 3: Cross multiply
    7,798,894x = 16,830,896 × 16,830,896
  4. Step 4: Simplify right side
    7,798,894x = 283,279,060,162,816
  5. Step 5: Solve for x
    x = 283,279,060,162,816/7,798,894
  6. Step 6: Final answer
    x = 36,322,978.64

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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.