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Finding the Third Proportional to 280,620,213,798.50 and 576,116,922,637.50

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Solution

The third proportional to 280,620,213,798.50 and 576,116,922,637.50 is: 1,182,775,481,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,620,213,798.50 : 576,116,922,637.50 = 576,116,922,637.50 : x
  2. Step 2: Convert to fraction form
    280,620,213,798.50/576,116,922,637.50 = 576,116,922,637.50/x
  3. Step 3: Cross multiply
    280,620,213,798.50x = 576,116,922,637.50 × 576,116,922,637.50
  4. Step 4: Simplify right side
    280,620,213,798.50x = 331,910,708,549,303,176,003,584
  5. Step 5: Solve for x
    x = 331,910,708,549,303,176,003,584/280,620,213,798.50
  6. Step 6: Final answer
    x = 1,182,775,481,696.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.