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Finding the Third Proportional to 5,849,150 and 12,623,132

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Solution

The third proportional to 5,849,150 and 12,623,132 is: 27,242,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849,150 : 12,623,132 = 12,623,132 : x
  2. Step 2: Convert to fraction form
    5,849,150/12,623,132 = 12,623,132/x
  3. Step 3: Cross multiply
    5,849,150x = 12,623,132 × 12,623,132
  4. Step 4: Simplify right side
    5,849,150x = 159,343,461,489,424
  5. Step 5: Solve for x
    x = 159,343,461,489,424/5,849,150
  6. Step 6: Final answer
    x = 27,242,156.81

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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.