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Finding the Third Proportional to 7,259,348 and 11,142,814

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Solution

The third proportional to 7,259,348 and 11,142,814 is: 17,103,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259,348 : 11,142,814 = 11,142,814 : x
  2. Step 2: Convert to fraction form
    7,259,348/11,142,814 = 11,142,814/x
  3. Step 3: Cross multiply
    7,259,348x = 11,142,814 × 11,142,814
  4. Step 4: Simplify right side
    7,259,348x = 124,162,303,838,596
  5. Step 5: Solve for x
    x = 124,162,303,838,596/7,259,348
  6. Step 6: Final answer
    x = 17,103,781.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.