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Finding the Third Proportional to 306,288,128 and 672,087,928

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Solution

The third proportional to 306,288,128 and 672,087,928 is: 1,474,762,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,288,128 : 672,087,928 = 672,087,928 : x
  2. Step 2: Convert to fraction form
    306,288,128/672,087,928 = 672,087,928/x
  3. Step 3: Cross multiply
    306,288,128x = 672,087,928 × 672,087,928
  4. Step 4: Simplify right side
    306,288,128x = 451,702,182,963,333,184
  5. Step 5: Solve for x
    x = 451,702,182,963,333,184/306,288,128
  6. Step 6: Final answer
    x = 1,474,762,296.25

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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.