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Finding the Third Proportional to 866,330,932.50 and 1,891,415,055.94

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Solution

The third proportional to 866,330,932.50 and 1,891,415,055.94 is: 4,129,427,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,330,932.50 : 1,891,415,055.94 = 1,891,415,055.94 : x
  2. Step 2: Convert to fraction form
    866,330,932.50/1,891,415,055.94 = 1,891,415,055.94/x
  3. Step 3: Cross multiply
    866,330,932.50x = 1,891,415,055.94 × 1,891,415,055.94
  4. Step 4: Simplify right side
    866,330,932.50x = 3,577,450,913,827,056,128
  5. Step 5: Solve for x
    x = 3,577,450,913,827,056,128/866,330,932.50
  6. Step 6: Final answer
    x = 4,129,427,658.21

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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.