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Finding the Third Proportional to 1,587,461,922 and 2,467,972,766.25

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Solution

The third proportional to 1,587,461,922 and 2,467,972,766.25 is: 3,836,872,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587,461,922 : 2,467,972,766.25 = 2,467,972,766.25 : x
  2. Step 2: Convert to fraction form
    1,587,461,922/2,467,972,766.25 = 2,467,972,766.25/x
  3. Step 3: Cross multiply
    1,587,461,922x = 2,467,972,766.25 × 2,467,972,766.25
  4. Step 4: Simplify right side
    1,587,461,922x = 6,090,889,574,951,676,928
  5. Step 5: Solve for x
    x = 6,090,889,574,951,676,928/1,587,461,922
  6. Step 6: Final answer
    x = 3,836,872,866.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.