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Finding the Third Proportional to 65,385,654 and 141,172,752

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Solution

The third proportional to 65,385,654 and 141,172,752 is: 304,803,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,385,654 : 141,172,752 = 141,172,752 : x
  2. Step 2: Convert to fraction form
    65,385,654/141,172,752 = 141,172,752/x
  3. Step 3: Cross multiply
    65,385,654x = 141,172,752 × 141,172,752
  4. Step 4: Simplify right side
    65,385,654x = 19,929,745,907,253,504
  5. Step 5: Solve for x
    x = 19,929,745,907,253,504/65,385,654
  6. Step 6: Final answer
    x = 304,803,036.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.