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Finding the Third Proportional to 7,490,402 and 11,314,311

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Solution

The third proportional to 7,490,402 and 11,314,311 is: 17,090,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490,402 : 11,314,311 = 11,314,311 : x
  2. Step 2: Convert to fraction form
    7,490,402/11,314,311 = 11,314,311/x
  3. Step 3: Cross multiply
    7,490,402x = 11,314,311 × 11,314,311
  4. Step 4: Simplify right side
    7,490,402x = 128,013,633,404,721
  5. Step 5: Solve for x
    x = 128,013,633,404,721/7,490,402
  6. Step 6: Final answer
    x = 17,090,355.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.