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Finding the Third Proportional to 5,849,223.50 and 12,623,258

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Solution

The third proportional to 5,849,223.50 and 12,623,258 is: 27,242,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849,223.50 : 12,623,258 = 12,623,258 : x
  2. Step 2: Convert to fraction form
    5,849,223.50/12,623,258 = 12,623,258/x
  3. Step 3: Cross multiply
    5,849,223.50x = 12,623,258 × 12,623,258
  4. Step 4: Simplify right side
    5,849,223.50x = 159,346,642,534,564
  5. Step 5: Solve for x
    x = 159,346,642,534,564/5,849,223.50
  6. Step 6: Final answer
    x = 27,242,358.33

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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.