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Finding the Third Proportional to 5,329,938 and 8,583,570

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Solution

The third proportional to 5,329,938 and 8,583,570 is: 13,823,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329,938 : 8,583,570 = 8,583,570 : x
  2. Step 2: Convert to fraction form
    5,329,938/8,583,570 = 8,583,570/x
  3. Step 3: Cross multiply
    5,329,938x = 8,583,570 × 8,583,570
  4. Step 4: Simplify right side
    5,329,938x = 73,677,673,944,900
  5. Step 5: Solve for x
    x = 73,677,673,944,900/5,329,938
  6. Step 6: Final answer
    x = 13,823,364.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.