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Finding the Third Proportional to 7,713,643 and 16,065,736

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Solution

The third proportional to 7,713,643 and 16,065,736 is: 33,461,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713,643 : 16,065,736 = 16,065,736 : x
  2. Step 2: Convert to fraction form
    7,713,643/16,065,736 = 16,065,736/x
  3. Step 3: Cross multiply
    7,713,643x = 16,065,736 × 16,065,736
  4. Step 4: Simplify right side
    7,713,643x = 258,107,873,221,696
  5. Step 5: Solve for x
    x = 258,107,873,221,696/7,713,643
  6. Step 6: Final answer
    x = 33,461,215.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.