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Finding the Third Proportional to 54,578,306 and 119,411,536

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Solution

The third proportional to 54,578,306 and 119,411,536 is: 261,259,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,578,306 : 119,411,536 = 119,411,536 : x
  2. Step 2: Convert to fraction form
    54,578,306/119,411,536 = 119,411,536/x
  3. Step 3: Cross multiply
    54,578,306x = 119,411,536 × 119,411,536
  4. Step 4: Simplify right side
    54,578,306x = 14,259,114,929,879,296
  5. Step 5: Solve for x
    x = 14,259,114,929,879,296/54,578,306
  6. Step 6: Final answer
    x = 261,259,756.39

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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.