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Finding the Third Proportional to 1,415,007,875 and 3,065,836,675

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Solution

The third proportional to 1,415,007,875 and 3,065,836,675 is: 6,642,616,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,007,875 : 3,065,836,675 = 3,065,836,675 : x
  2. Step 2: Convert to fraction form
    1,415,007,875/3,065,836,675 = 3,065,836,675/x
  3. Step 3: Cross multiply
    1,415,007,875x = 3,065,836,675 × 3,065,836,675
  4. Step 4: Simplify right side
    1,415,007,875x = 9,399,354,517,775,054,848
  5. Step 5: Solve for x
    x = 9,399,354,517,775,054,848/1,415,007,875
  6. Step 6: Final answer
    x = 6,642,616,400.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.