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Finding the Third Proportional to 64,122,861 and 130,030,016

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Solution

The third proportional to 64,122,861 and 130,030,016 is: 263,678,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,122,861 : 130,030,016 = 130,030,016 : x
  2. Step 2: Convert to fraction form
    64,122,861/130,030,016 = 130,030,016/x
  3. Step 3: Cross multiply
    64,122,861x = 130,030,016 × 130,030,016
  4. Step 4: Simplify right side
    64,122,861x = 16,907,805,060,960,256
  5. Step 5: Solve for x
    x = 16,907,805,060,960,256/64,122,861
  6. Step 6: Final answer
    x = 263,678,270.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.