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Finding the Third Proportional to 65,215,496 and 140,645,410

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Solution

The third proportional to 65,215,496 and 140,645,410 is: 303,319,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,215,496 : 140,645,410 = 140,645,410 : x
  2. Step 2: Convert to fraction form
    65,215,496/140,645,410 = 140,645,410/x
  3. Step 3: Cross multiply
    65,215,496x = 140,645,410 × 140,645,410
  4. Step 4: Simplify right side
    65,215,496x = 19,781,131,354,068,100
  5. Step 5: Solve for x
    x = 19,781,131,354,068,100/65,215,496
  6. Step 6: Final answer
    x = 303,319,495.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.