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Finding the Third Proportional to 65,105,052 and 140,432,370

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Solution

The third proportional to 65,105,052 and 140,432,370 is: 302,914,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,105,052 : 140,432,370 = 140,432,370 : x
  2. Step 2: Convert to fraction form
    65,105,052/140,432,370 = 140,432,370/x
  3. Step 3: Cross multiply
    65,105,052x = 140,432,370 × 140,432,370
  4. Step 4: Simplify right side
    65,105,052x = 19,721,250,543,816,900
  5. Step 5: Solve for x
    x = 19,721,250,543,816,900/65,105,052
  6. Step 6: Final answer
    x = 302,914,289.11

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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.