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Finding the Third Proportional to 505,612,275.75 and 1,107,880,276.50

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Solution

The third proportional to 505,612,275.75 and 1,107,880,276.50 is: 2,427,549,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,612,275.75 : 1,107,880,276.50 = 1,107,880,276.50 : x
  2. Step 2: Convert to fraction form
    505,612,275.75/1,107,880,276.50 = 1,107,880,276.50/x
  3. Step 3: Cross multiply
    505,612,275.75x = 1,107,880,276.50 × 1,107,880,276.50
  4. Step 4: Simplify right side
    505,612,275.75x = 1,227,398,707,057,716,480
  5. Step 5: Solve for x
    x = 1,227,398,707,057,716,480/505,612,275.75
  6. Step 6: Final answer
    x = 2,427,549,262.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.