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Finding the Third Proportional to 5,849,223.25 and 12,623,256.75

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Solution

The third proportional to 5,849,223.25 and 12,623,256.75 is: 27,242,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849,223.25 : 12,623,256.75 = 12,623,256.75 : x
  2. Step 2: Convert to fraction form
    5,849,223.25/12,623,256.75 = 12,623,256.75/x
  3. Step 3: Cross multiply
    5,849,223.25x = 12,623,256.75 × 12,623,256.75
  4. Step 4: Simplify right side
    5,849,223.25x = 159,346,610,976,420.56
  5. Step 5: Solve for x
    x = 159,346,610,976,420.56/5,849,223.25
  6. Step 6: Final answer
    x = 27,242,354.10

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