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Finding the Third Proportional to 1,386,648,242 and 2,821,724,132

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Solution

The third proportional to 1,386,648,242 and 2,821,724,132 is: 5,741,994,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386,648,242 : 2,821,724,132 = 2,821,724,132 : x
  2. Step 2: Convert to fraction form
    1,386,648,242/2,821,724,132 = 2,821,724,132/x
  3. Step 3: Cross multiply
    1,386,648,242x = 2,821,724,132 × 2,821,724,132
  4. Step 4: Simplify right side
    1,386,648,242x = 7,962,127,077,111,153,664
  5. Step 5: Solve for x
    x = 7,962,127,077,111,153,664/1,386,648,242
  6. Step 6: Final answer
    x = 5,741,994,859.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.