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Finding the Third Proportional to 10,590,968 and 15,872,223

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Solution

The third proportional to 10,590,968 and 15,872,223 is: 23,787,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590,968 : 15,872,223 = 15,872,223 : x
  2. Step 2: Convert to fraction form
    10,590,968/15,872,223 = 15,872,223/x
  3. Step 3: Cross multiply
    10,590,968x = 15,872,223 × 15,872,223
  4. Step 4: Simplify right side
    10,590,968x = 251,927,462,961,729
  5. Step 5: Solve for x
    x = 251,927,462,961,729/10,590,968
  6. Step 6: Final answer
    x = 23,787,010.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.