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Finding the Third Proportional to 387,612,711 and 595,788,765.75

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Solution

The third proportional to 387,612,711 and 595,788,765.75 is: 915,770,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,612,711 : 595,788,765.75 = 595,788,765.75 : x
  2. Step 2: Convert to fraction form
    387,612,711/595,788,765.75 = 595,788,765.75/x
  3. Step 3: Cross multiply
    387,612,711x = 595,788,765.75 × 595,788,765.75
  4. Step 4: Simplify right side
    387,612,711x = 354,964,253,393,908,352
  5. Step 5: Solve for x
    x = 354,964,253,393,908,352/387,612,711
  6. Step 6: Final answer
    x = 915,770,415.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.