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Finding the Third Proportional to 5,849,206.50 and 12,623,233.50

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Solution

The third proportional to 5,849,206.50 and 12,623,233.50 is: 27,242,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849,206.50 : 12,623,233.50 = 12,623,233.50 : x
  2. Step 2: Convert to fraction form
    5,849,206.50/12,623,233.50 = 12,623,233.50/x
  3. Step 3: Cross multiply
    5,849,206.50x = 12,623,233.50 × 12,623,233.50
  4. Step 4: Simplify right side
    5,849,206.50x = 159,346,023,995,522.25
  5. Step 5: Solve for x
    x = 159,346,023,995,522.25/5,849,206.50
  6. Step 6: Final answer
    x = 27,242,331.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.