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Finding the Third Proportional to 277,664,023 and 406,275,004.50

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Solution

The third proportional to 277,664,023 and 406,275,004.50 is: 594,457,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,664,023 : 406,275,004.50 = 406,275,004.50 : x
  2. Step 2: Convert to fraction form
    277,664,023/406,275,004.50 = 406,275,004.50/x
  3. Step 3: Cross multiply
    277,664,023x = 406,275,004.50 × 406,275,004.50
  4. Step 4: Simplify right side
    277,664,023x = 165,059,379,281,475,008
  5. Step 5: Solve for x
    x = 165,059,379,281,475,008/277,664,023
  6. Step 6: Final answer
    x = 594,457,205.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.