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Finding the Third Proportional to 30,768,795 and 65,656,278

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Solution

The third proportional to 30,768,795 and 65,656,278 is: 140,101,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768,795 : 65,656,278 = 65,656,278 : x
  2. Step 2: Convert to fraction form
    30,768,795/65,656,278 = 65,656,278/x
  3. Step 3: Cross multiply
    30,768,795x = 65,656,278 × 65,656,278
  4. Step 4: Simplify right side
    30,768,795x = 4,310,746,840,813,284
  5. Step 5: Solve for x
    x = 4,310,746,840,813,284/30,768,795
  6. Step 6: Final answer
    x = 140,101,256.51

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.