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Finding the Third Proportional to 54,578,466 and 119,411,856

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Solution

The third proportional to 54,578,466 and 119,411,856 is: 261,260,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,578,466 : 119,411,856 = 119,411,856 : x
  2. Step 2: Convert to fraction form
    54,578,466/119,411,856 = 119,411,856/x
  3. Step 3: Cross multiply
    54,578,466x = 119,411,856 × 119,411,856
  4. Step 4: Simplify right side
    54,578,466x = 14,259,191,353,364,736
  5. Step 5: Solve for x
    x = 14,259,191,353,364,736/54,578,466
  6. Step 6: Final answer
    x = 261,260,390.74

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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.