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Finding the Third Proportional to 7,748,298 and 16,891,699.50

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Solution

The third proportional to 7,748,298 and 16,891,699.50 is: 36,824,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748,298 : 16,891,699.50 = 16,891,699.50 : x
  2. Step 2: Convert to fraction form
    7,748,298/16,891,699.50 = 16,891,699.50/x
  3. Step 3: Cross multiply
    7,748,298x = 16,891,699.50 × 16,891,699.50
  4. Step 4: Simplify right side
    7,748,298x = 285,329,511,998,300.25
  5. Step 5: Solve for x
    x = 285,329,511,998,300.25/7,748,298
  6. Step 6: Final answer
    x = 36,824,798.43

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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.