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Finding the Third Proportional to 1,546,881,590 and 2,453,450,180

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Solution

The third proportional to 1,546,881,590 and 2,453,450,180 is: 3,891,324,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,881,590 : 2,453,450,180 = 2,453,450,180 : x
  2. Step 2: Convert to fraction form
    1,546,881,590/2,453,450,180 = 2,453,450,180/x
  3. Step 3: Cross multiply
    1,546,881,590x = 2,453,450,180 × 2,453,450,180
  4. Step 4: Simplify right side
    1,546,881,590x = 6,019,417,785,742,032,896
  5. Step 5: Solve for x
    x = 6,019,417,785,742,032,896/1,546,881,590
  6. Step 6: Final answer
    x = 3,891,324,212.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.