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Finding the Third Proportional to 8,378,298 and 18,249,570

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Solution

The third proportional to 8,378,298 and 18,249,570 is: 39,751,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378,298 : 18,249,570 = 18,249,570 : x
  2. Step 2: Convert to fraction form
    8,378,298/18,249,570 = 18,249,570/x
  3. Step 3: Cross multiply
    8,378,298x = 18,249,570 × 18,249,570
  4. Step 4: Simplify right side
    8,378,298x = 333,046,805,184,900
  5. Step 5: Solve for x
    x = 333,046,805,184,900/8,378,298
  6. Step 6: Final answer
    x = 39,751,129.07

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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.