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Finding the Third Proportional to 30,437,287.69 and 65,184,220.88

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Solution

The third proportional to 30,437,287.69 and 65,184,220.88 is: 139,597,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,437,287.69 : 65,184,220.88 = 65,184,220.88 : x
  2. Step 2: Convert to fraction form
    30,437,287.69/65,184,220.88 = 65,184,220.88/x
  3. Step 3: Cross multiply
    30,437,287.69x = 65,184,220.88 × 65,184,220.88
  4. Step 4: Simplify right side
    30,437,287.69x = 4,248,982,651,080,786
  5. Step 5: Solve for x
    x = 4,248,982,651,080,786/30,437,287.69
  6. Step 6: Final answer
    x = 139,597,939.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.