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Finding the Third Proportional to 2,337,544,743.75 and 5,142,590,262

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Solution

The third proportional to 2,337,544,743.75 and 5,142,590,262 is: 11,313,680,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337,544,743.75 : 5,142,590,262 = 5,142,590,262 : x
  2. Step 2: Convert to fraction form
    2,337,544,743.75/5,142,590,262 = 5,142,590,262/x
  3. Step 3: Cross multiply
    2,337,544,743.75x = 5,142,590,262 × 5,142,590,262
  4. Step 4: Simplify right side
    2,337,544,743.75x = 26,446,234,602,817,228,800
  5. Step 5: Solve for x
    x = 26,446,234,602,817,228,800/2,337,544,743.75
  6. Step 6: Final answer
    x = 11,313,680,593.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.