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Finding the Third Proportional to 1,386,921,114 and 1,901,805,831

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Solution

The third proportional to 1,386,921,114 and 1,901,805,831 is: 2,607,837,880.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386,921,114 : 1,901,805,831 = 1,901,805,831 : x
  2. Step 2: Convert to fraction form
    1,386,921,114/1,901,805,831 = 1,901,805,831/x
  3. Step 3: Cross multiply
    1,386,921,114x = 1,901,805,831 × 1,901,805,831
  4. Step 4: Simplify right side
    1,386,921,114x = 3,616,865,418,825,600,512
  5. Step 5: Solve for x
    x = 3,616,865,418,825,600,512/1,386,921,114
  6. Step 6: Final answer
    x = 2,607,837,880.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.