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Finding the Third Proportional to 51,385,421 and 121,264,372

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Solution

The third proportional to 51,385,421 and 121,264,372 is: 286,171,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,385,421 : 121,264,372 = 121,264,372 : x
  2. Step 2: Convert to fraction form
    51,385,421/121,264,372 = 121,264,372/x
  3. Step 3: Cross multiply
    51,385,421x = 121,264,372 × 121,264,372
  4. Step 4: Simplify right side
    51,385,421x = 14,705,047,916,554,384
  5. Step 5: Solve for x
    x = 14,705,047,916,554,384/51,385,421
  6. Step 6: Final answer
    x = 286,171,595.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.