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Finding the Third Proportional to 306,288,156 and 672,087,984

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Solution

The third proportional to 306,288,156 and 672,087,984 is: 1,474,762,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,288,156 : 672,087,984 = 672,087,984 : x
  2. Step 2: Convert to fraction form
    306,288,156/672,087,984 = 672,087,984/x
  3. Step 3: Cross multiply
    306,288,156x = 672,087,984 × 672,087,984
  4. Step 4: Simplify right side
    306,288,156x = 451,702,258,237,184,256
  5. Step 5: Solve for x
    x = 451,702,258,237,184,256/306,288,156
  6. Step 6: Final answer
    x = 1,474,762,407.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.