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Finding the Third Proportional to 67,049,808 and 144,783,840

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Solution

The third proportional to 67,049,808 and 144,783,840 is: 312,638,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,049,808 : 144,783,840 = 144,783,840 : x
  2. Step 2: Convert to fraction form
    67,049,808/144,783,840 = 144,783,840/x
  3. Step 3: Cross multiply
    67,049,808x = 144,783,840 × 144,783,840
  4. Step 4: Simplify right side
    67,049,808x = 20,962,360,325,145,600
  5. Step 5: Solve for x
    x = 20,962,360,325,145,600/67,049,808
  6. Step 6: Final answer
    x = 312,638,633.14

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Why These Related Problems?

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