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Finding the Third Proportional to 827,288,385.75 and 1,772,600,152.50

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Solution

The third proportional to 827,288,385.75 and 1,772,600,152.50 is: 3,798,084,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,288,385.75 : 1,772,600,152.50 = 1,772,600,152.50 : x
  2. Step 2: Convert to fraction form
    827,288,385.75/1,772,600,152.50 = 1,772,600,152.50/x
  3. Step 3: Cross multiply
    827,288,385.75x = 1,772,600,152.50 × 1,772,600,152.50
  4. Step 4: Simplify right side
    827,288,385.75x = 3,142,111,300,643,023,360
  5. Step 5: Solve for x
    x = 3,142,111,300,643,023,360/827,288,385.75
  6. Step 6: Final answer
    x = 3,798,084,627.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.