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Finding the Third Proportional to 16,411,815 and 35,713,365.75

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Solution

The third proportional to 16,411,815 and 35,713,365.75 is: 77,715,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411,815 : 35,713,365.75 = 35,713,365.75 : x
  2. Step 2: Convert to fraction form
    16,411,815/35,713,365.75 = 35,713,365.75/x
  3. Step 3: Cross multiply
    16,411,815x = 35,713,365.75 × 35,713,365.75
  4. Step 4: Simplify right side
    16,411,815x = 1,275,444,493,193,273
  5. Step 5: Solve for x
    x = 1,275,444,493,193,273/16,411,815
  6. Step 6: Final answer
    x = 77,715,017.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.