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Finding the Third Proportional to 23,078,214 and 49,358,196

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Solution

The third proportional to 23,078,214 and 49,358,196 is: 105,564,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,078,214 : 49,358,196 = 49,358,196 : x
  2. Step 2: Convert to fraction form
    23,078,214/49,358,196 = 49,358,196/x
  3. Step 3: Cross multiply
    23,078,214x = 49,358,196 × 49,358,196
  4. Step 4: Simplify right side
    23,078,214x = 2,436,231,512,374,416
  5. Step 5: Solve for x
    x = 2,436,231,512,374,416/23,078,214
  6. Step 6: Final answer
    x = 105,564,126.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.