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Finding the Third Proportional to 5,426,163 and 8,637,394.50

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Solution

The third proportional to 5,426,163 and 8,637,394.50 is: 13,749,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426,163 : 8,637,394.50 = 8,637,394.50 : x
  2. Step 2: Convert to fraction form
    5,426,163/8,637,394.50 = 8,637,394.50/x
  3. Step 3: Cross multiply
    5,426,163x = 8,637,394.50 × 8,637,394.50
  4. Step 4: Simplify right side
    5,426,163x = 74,604,583,748,630.25
  5. Step 5: Solve for x
    x = 74,604,583,748,630.25/5,426,163
  6. Step 6: Final answer
    x = 13,749,049.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.