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Finding the Third Proportional to 2,057,214,708 and 4,507,454,940

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Solution

The third proportional to 2,057,214,708 and 4,507,454,940 is: 9,876,047,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,214,708 : 4,507,454,940 = 4,507,454,940 : x
  2. Step 2: Convert to fraction form
    2,057,214,708/4,507,454,940 = 4,507,454,940/x
  3. Step 3: Cross multiply
    2,057,214,708x = 4,507,454,940 × 4,507,454,940
  4. Step 4: Simplify right side
    2,057,214,708x = 20,317,150,036,130,402,304
  5. Step 5: Solve for x
    x = 20,317,150,036,130,402,304/2,057,214,708
  6. Step 6: Final answer
    x = 9,876,047,433.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.