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Finding the Third Proportional to 588,895,172 and 1,238,711,416

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Solution

The third proportional to 588,895,172 and 1,238,711,416 is: 2,605,567,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,895,172 : 1,238,711,416 = 1,238,711,416 : x
  2. Step 2: Convert to fraction form
    588,895,172/1,238,711,416 = 1,238,711,416/x
  3. Step 3: Cross multiply
    588,895,172x = 1,238,711,416 × 1,238,711,416
  4. Step 4: Simplify right side
    588,895,172x = 1,534,405,972,128,724,992
  5. Step 5: Solve for x
    x = 1,534,405,972,128,724,992/588,895,172
  6. Step 6: Final answer
    x = 2,605,567,247.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.