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Finding the Third Proportional to 866,330,931 and 1,891,415,053.13

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Solution

The third proportional to 866,330,931 and 1,891,415,053.13 is: 4,129,427,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,330,931 : 1,891,415,053.13 = 1,891,415,053.13 : x
  2. Step 2: Convert to fraction form
    866,330,931/1,891,415,053.13 = 1,891,415,053.13/x
  3. Step 3: Cross multiply
    866,330,931x = 1,891,415,053.13 × 1,891,415,053.13
  4. Step 4: Simplify right side
    866,330,931x = 3,577,450,903,187,846,656
  5. Step 5: Solve for x
    x = 3,577,450,903,187,846,656/866,330,931
  6. Step 6: Final answer
    x = 4,129,427,653.08

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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.