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Finding the Third Proportional to 965,007,702 and 2,106,986,080.50

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Solution

The third proportional to 965,007,702 and 2,106,986,080.50 is: 4,600,367,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,007,702 : 2,106,986,080.50 = 2,106,986,080.50 : x
  2. Step 2: Convert to fraction form
    965,007,702/2,106,986,080.50 = 2,106,986,080.50/x
  3. Step 3: Cross multiply
    965,007,702x = 2,106,986,080.50 × 2,106,986,080.50
  4. Step 4: Simplify right side
    965,007,702x = 4,439,390,343,420,752,384
  5. Step 5: Solve for x
    x = 4,439,390,343,420,752,384/965,007,702
  6. Step 6: Final answer
    x = 4,600,367,783.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.