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Finding the Third Proportional to 283,810,850 and 611,921,572

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Solution

The third proportional to 283,810,850 and 611,921,572 is: 1,319,357,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,810,850 : 611,921,572 = 611,921,572 : x
  2. Step 2: Convert to fraction form
    283,810,850/611,921,572 = 611,921,572/x
  3. Step 3: Cross multiply
    283,810,850x = 611,921,572 × 611,921,572
  4. Step 4: Simplify right side
    283,810,850x = 374,448,010,278,951,168
  5. Step 5: Solve for x
    x = 374,448,010,278,951,168/283,810,850
  6. Step 6: Final answer
    x = 1,319,357,629.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.